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100004240100444 = 22337892719338479
BaseRepresentation
bin10110101111010000001101…
…001101010000110001011100
3111010002022102102210221121220
4112233100031031100301130
5101101432140431203234
6552405151430453340
730031032203330151
oct2657201515206134
9433068372727556
10100004240100444
1129956618482419
12b2715a9804250
1343a5489722114
141a9a333dc6228
15b86516b70a49
hex5af40d350c5c

100004240100444 has 96 divisors (see below), whose sum is σ = 243236773785600. Its totient is φ = 31951042168320.

The previous prime is 100004240100439. The next prime is 100004240100449. The reversal of 100004240100444 is 444001042400001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100004240100439) and next prime (100004240100449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100004240100449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6039597 + ... + 15378075.

It is an arithmetic number, because the mean of its divisors is an integer number (2533716393600).

Almost surely, 2100004240100444 is an apocalyptic number.

It is an amenable number.

100004240100444 is an abundant number, since it is smaller than the sum of its proper divisors (143232533685156).

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

100004240100444 is a wasteful number, since it uses less digits than its factorization.

100004240100444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9338883 (or 9338881 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 100004240100444 its reverse (444001042400001), we get a palindrome (544005282500445).

The spelling of 100004240100444 in words is "one hundred trillion, four billion, two hundred forty million, one hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 37 74 89 111 148 178 222 267 271 356 444 534 542 813 1068 1084 1626 3252 3293 6586 9879 10027 13172 19758 20054 24119 30081 39516 40108 48238 60162 72357 96476 120324 144714 289428 892403 1784806 2677209 3569612 5354418 9338479 10708836 18676958 28015437 37353916 56030874 112061748 345523723 691047446 831124631 1036571169 1382094892 1662249262 2073142338 2493373893 2530727809 3324498524 4146284676 4986747786 5061455618 7592183427 9973495572 10122911236 15184366854 30368733708 30751611347 61503222694 92254834041 93636928933 123006445388 184509668082 187273857866 225234775001 280910786799 369019336164 374547715732 450469550002 561821573598 675704325003 900939100004 1123643147196 1351408650006 2702817300012 8333686675037 16667373350074 25001060025111 33334746700148 50002120050222 100004240100444