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42413442402114 = 23272131367082467
BaseRepresentation
bin10011010010011001001100…
…01010110000011101000010
312120011200111201121000100100
421221030212022300131002
521024400212223331424
6230112244430503230
711635161433013400
oct1151144612603502
9176150451530310
1042413442402114
1112572492579993
124910014064b16
131a887553a8454
14a68b70538470
154d840e7d1dc9
hex2693262b0742

42413442402114 has 72 divisors (see below), whose sum is σ = 107715211080048. Its totient is φ = 12025621586160.

The previous prime is 42413442402103. The next prime is 42413442402187. The reversal of 42413442402114 is 41120424431424.

42413442402114 is a `hidden beast` number, since 4 + 2 + 4 + 13 + 4 + 424 + 0 + 211 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183425692 + ... + 183656775.

It is an arithmetic number, because the mean of its divisors is an integer number (1496044598334).

Almost surely, 242413442402114 is an apocalyptic number.

42413442402114 is an abundant number, since it is smaller than the sum of its proper divisors (65301768677934).

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

42413442402114 is a wasteful number, since it uses less digits than its factorization.

42413442402114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367082620 (or 367082610 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 42413442402114 its reverse (41120424431424), we get a palindrome (83533866833538).

The spelling of 42413442402114 in words is "forty-two trillion, four hundred thirteen billion, four hundred forty-two million, four hundred two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 131 147 262 294 393 441 786 882 917 1179 1834 2358 2751 5502 6419 8253 12838 16506 19257 38514 57771 115542 367082467 734164934 1101247401 2202494802 2569577269 3303742203 5139154538 6607484406 7708731807 15417463614 17987040883 23126195421 35974081766 46252390842 48087803177 53961122649 96175606354 107922245298 144263409531 161883367947 288526819062 323766735894 336614622239 432790228593 673229244478 865580457186 1009843866717 2019687733434 2356302355673 3029531600151 4712604711346 6059063200302 7068907067019 14137814134038 21206721201057 42413442402114