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42412131402039 = 357713491006241
BaseRepresentation
bin10011010010010110110000…
…00001101100000100110111
312120011120010100201022100000
421221023120001230010313
521024340021114331124
6230111510355322343
711635114103466630
oct1151133001540467
9176146110638300
1042412131402039
111257197a549153
12490b908bb03b3
131a885a68bb669
14a68a88392887
154d838466c6c9
hex2692d806c137

42412131402039 has 96 divisors (see below), whose sum is σ = 73840452940800. Its totient is φ = 23825670220800.

The previous prime is 42412131402037. The next prime is 42412131402071. The reversal of 42412131402039 is 93020413121424.

42412131402039 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 213 + 1 + 402 + 0 + 39 = 666.

It is not a de Polignac number, because 42412131402039 - 21 = 42412131402037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42412131401994 and 42412131402012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42412131402037) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41645959 + ... + 42652199.

It is an arithmetic number, because the mean of its divisors is an integer number (769171384800).

Almost surely, 242412131402039 is an apocalyptic number.

42412131402039 is a deficient number, since it is larger than the sum of its proper divisors (31428321538761).

42412131402039 is a wasteful number, since it uses less digits than its factorization.

42412131402039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006683 (or 1006671 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 42412131402039 in words is "forty-two trillion, four hundred twelve billion, one hundred thirty-one million, four hundred two thousand, thirty-nine".

Divisors: 1 3 7 9 21 27 63 71 81 189 213 243 349 497 567 639 1047 1491 1701 1917 2443 3141 4473 5751 7329 9423 13419 17253 21987 24779 28269 40257 65961 74337 84807 120771 173453 197883 223011 520359 593649 669033 1006241 1561077 2007099 3018723 4683231 6021297 7043687 9056169 14049693 21131061 27168507 42149079 63393183 71443111 81505521 190179549 214329333 244516563 351178109 500101777 570538647 642987999 1053534327 1500305331 1711615941 1928963997 2458246763 3160602981 4500915993 5786891991 7374740289 9481808943 13502747979 17360675973 22124220867 24933645739 28445426829 40508243937 66372662601 74800937217 85336280487 121524731811 174535520173 199117987803 224402811651 523606560519 597353963409 673208434953 1570819681557 2019625304859 4712459044671 6058875914577 14137377134013 42412131402039