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3982014036 = 223271113110501
BaseRepresentation
bin1110110101011000…
…1011011001010100
3101021111212021100100
43231112023121110
531123343422121
61455044214100
7200451363240
oct35526133124
911244767310
103982014036
11176381a0a0
1293169a330
134b5c94c30
1429abd1420
151848c1026
hexed58b654

3982014036 has 144 divisors (see below), whose sum is σ = 13514836608. Its totient is φ = 954720000.

The previous prime is 3982014019. The next prime is 3982014061. The reversal of 3982014036 is 6304102893.

It is a super-3 number, since 3×39820140363 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19215 + ... + 91286.

It is an arithmetic number, because the mean of its divisors is an integer number (93853032).

Almost surely, 23982014036 is an apocalyptic number.

3982014036 is a gapful number since it is divisible by the number (36) 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 3982014036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6757418304).

3982014036 is an abundant number, since it is smaller than the sum of its proper divisors (9532822572).

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

3982014036 is a wasteful number, since it uses less digits than its factorization.

3982014036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110542 (or 110537 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3982014036 is about 63103.2014718746. The cubic root of 3982014036 is about 1585.0182321009.

The spelling of 3982014036 in words is "three billion, nine hundred eighty-two million, fourteen thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 4004 5148 6006 9009 12012 18018 36036 110501 221002 331503 442004 663006 773507 994509 1215511 1326012 1436513 1547014 1989018 2320521 2431022 2873026 3094028 3646533 3978036 4309539 4641042 4862044 5746052 6961563 7293066 8508577 8619078 9282084 10055591 10939599 12928617 13923126 14586132 15801643 17017154 17238156 20111182 21879198 25525731 25857234 27846252 30166773 31603286 34034308 40222364 43758396 47404929 51051462 51714468 60333546 63206572 76577193 90500319 94809858 102102924 110611501 120667092 142214787 153154386 181000638 189619716 221223002 284429574 306308772 331834503 362001276 442446004 568859148 663669006 995503509 1327338012 1991007018 3982014036