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3040745418678 = 23111966114812477
BaseRepresentation
bin101100001111111010100…
…011001110111110110110
3101202200200202222000010210
4230033322203032332312
5344304421311344203
610244522115130250
7432454335413142
oct54177243167666
911680622860123
103040745418678
11a72633575910
124113975a3986
131909831648b6
14a725c4a2222
155416b8c0803
hex2c3fa8cefb6

3040745418678 has 128 divisors (see below), whose sum is σ = 7001643317760. Its totient is φ = 870680448000.

The previous prime is 3040745418661. The next prime is 3040745418791. The reversal of 3040745418678 is 8768145470403.

It is a super-3 number, since 3×30407454186783 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1227590776 + ... + 1227593252.

It is an arithmetic number, because the mean of its divisors is an integer number (54700338420).

Almost surely, 23040745418678 is an apocalyptic number.

3040745418678 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3040745418678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500821658880).

3040745418678 is an abundant number, since it is smaller than the sum of its proper divisors (3960897899082).

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

3040745418678 is a wasteful number, since it uses less digits than its factorization.

3040745418678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654.

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 3040745418678 in words is "three trillion, forty billion, seven hundred forty-five million, four hundred eighteen thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 661 1254 1322 1481 1983 2477 2962 3966 4443 4954 7271 7431 8886 12559 14542 14862 16291 21813 25118 27247 28139 32582 37677 43626 47063 48873 54494 56278 75354 81741 84417 94126 97746 138149 141189 163482 168834 276298 282378 309529 414447 517693 619058 828894 928587 978941 1035386 1553079 1637297 1857174 1957882 2936823 3106158 3274594 3668437 4911891 5873646 7336874 9823782 10768351 11005311 18010267 18599879 21536702 22010622 31108643 32305053 36020534 37199758 40352807 54030801 55799637 62217286 64610106 69700303 80705614 93325929 108061602 111599274 121058421 139400606 186651858 204598669 209100909 242116842 342195073 409197338 418201818 613796007 684390146 766703333 1026585219 1227592014 1533406666 2053170438 2300109999 2424836857 4600219998 4849673714 7274510571 14549021142 26673205427 46071900283 53346410854 80019616281 92143800566 138215700849 160039232562 276431401698 506790903113 1013581806226 1520372709339 3040745418678