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234433240140 = 223511457777247
BaseRepresentation
bin1101101001010101001…
…1110101110001001100
3211102010001111112001210
43122111103311301030
512320104402141030
6255410325534420
722636321443141
oct3322523656114
9742101445053
10234433240140
11904714a8160
1239527274410
1319150cb4c98
14b4bd2183c8
1561713a0bb0
hex36954f5c4c

234433240140 has 96 divisors (see below), whose sum is σ = 717654841344. Its totient is φ = 56707868160.

The previous prime is 234433240121. The next prime is 234433240163. The reversal of 234433240140 is 41042334432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 234433240098 and 234433240107.

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, 87004 + ... + 690243.

It is an arithmetic number, because the mean of its divisors is an integer number (7475571264).

Almost surely, 2234433240140 is an apocalyptic number.

234433240140 is a gapful number since it is divisible by the number (20) 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 234433240140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358827420672).

234433240140 is an abundant number, since it is smaller than the sum of its proper divisors (483221601204).

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

234433240140 is a wasteful number, since it uses less digits than its factorization.

234433240140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777727 (or 777725 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 234433240140 its reverse (41042334432), we get a palindrome (275475574572).

The spelling of 234433240140 in words is "two hundred thirty-four billion, four hundred thirty-three million, two hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 457 660 914 1371 1828 2285 2742 4570 5027 5484 6855 9140 10054 13710 15081 20108 25135 27420 30162 50270 60324 75405 100540 150810 301620 777247 1554494 2331741 3108988 3886235 4663482 7772470 8549717 9326964 11658705 15544940 17099434 23317410 25649151 34198868 42748585 46634820 51298302 85497170 102596604 128245755 170994340 256491510 355201879 512983020 710403758 1065605637 1420807516 1776009395 2131211274 3552018790 3907220669 4262422548 5328028185 7104037580 7814441338 10656056370 11721662007 15628882676 19536103345 21312112740 23443324014 39072206690 46886648028 58608310035 78144413380 117216620070 234433240140