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3144314040 = 233575370627
BaseRepresentation
bin1011101101101010…
…0110110010111000
322010010120200222120
42323122212302320
522414421022130
61240001321240
7140630141220
oct27332466270
98103520876
103144314040
11137397974a
12739036220
133b157236a
1421b851080
1513609d910
hexbb6a6cb8

3144314040 has 128 divisors (see below), whose sum is σ = 10984066560. Its totient is φ = 705129984.

The previous prime is 3144314029. The next prime is 3144314051. The reversal of 3144314040 is 404134413.

It is an interprime number because it is at equal distance from previous prime (3144314029) and next prime (3144314051).

It is a super-2 number, since 2×31443140402 = 19773421564282243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3144314040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9207 + ... + 79833.

It is an arithmetic number, because the mean of its divisors is an integer number (85813020).

Almost surely, 23144314040 is an apocalyptic number.

3144314040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5492033280).

3144314040 is an abundant number, since it is smaller than the sum of its proper divisors (7839752520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3144314040 is a wasteful number, since it uses less digits than its factorization.

3144314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70701 (or 70697 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3144314040 is about 56074.1833645395. The cubic root of 3144314040 is about 1465.0146635845.

Adding to 3144314040 its reverse (404134413), we get a palindrome (3548448453).

The spelling of 3144314040 in words is "three billion, one hundred forty-four million, three hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 265 280 318 371 420 424 530 636 742 795 840 1060 1113 1272 1484 1590 1855 2120 2226 2968 3180 3710 4452 5565 6360 7420 8904 11130 14840 22260 44520 70627 141254 211881 282508 353135 423762 494389 565016 706270 847524 988778 1059405 1412540 1483167 1695048 1977556 2118810 2471945 2825080 2966334 3743231 3955112 4237620 4943890 5932668 7415835 7486462 8475240 9887780 11229693 11865336 14831670 14972924 18716155 19775560 22459386 26202617 29663340 29945848 37432310 44918772 52405234 56148465 59326680 74864620 78607851 89837544 104810468 112296930 131013085 149729240 157215702 209620936 224593860 262026170 314431404 393039255 449187720 524052340 628862808 786078510 1048104680 1572157020 3144314040