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42444040400008 = 231317103233075827
BaseRepresentation
bin10011010011010010001011…
…11100110110110010001000
312120021121111011010100121121
421221221011330312302020
521030400343320300013
6230134304544045024
711640323613502342
oct1151510574666210
9176247434110547
1042444040400008
1112584464323655
124915b33303774
131a8b5c0617a50
14a6a434168292
154d9100b8058d
hex269a45f36c88

42444040400008 has 64 divisors (see below), whose sum is σ = 91626769503360. Its totient is φ = 18258227905536.

The previous prime is 42444040399949. The next prime is 42444040400051. The reversal of 42444040400008 is 80000404044424.

It is a super-2 number, since 2×424440404000082 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116355810 + ... + 116720017.

It is an arithmetic number, because the mean of its divisors is an integer number (1431668273490).

Almost surely, 242444040400008 is an apocalyptic number.

It is an amenable number.

42444040400008 is an abundant number, since it is smaller than the sum of its proper divisors (49182729103352).

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

42444040400008 is a wasteful number, since it uses less digits than its factorization.

42444040400008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233075966 (or 233075962 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

The spelling of 42444040400008 in words is "forty-two trillion, four hundred forty-four billion, forty million, four hundred thousand, eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 103 104 136 206 221 412 442 824 884 1339 1751 1768 2678 3502 5356 7004 10712 14008 22763 45526 91052 182104 233075827 466151654 932303308 1864606616 3029985751 3962289059 6059971502 7924578118 12119943004 15849156236 24006810181 24239886008 31698312472 48013620362 51509757767 96027240724 103019515534 192054481448 206039031068 312088532353 408115773077 412078062136 624177064706 816231546154 1248354129412 1632463092308 2496708258824 3264926184616 5305505050001 10611010100002 21222020200004 42444040400008