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42440202132132 = 22377932711955197
BaseRepresentation
bin10011010011001011000010…
…01011000001101010100100
312120021020120122202010221010
421221211201023001222210
521030320013221212012
6230132432032422220
711640126525661110
oct1151454113015244
9176236518663833
1042440202132132
1112582874765142
1249152419a7970
131a8b12b37231c
14a6a18c4b4740
154d8e78c05c3c
hex2699612c1aa4

42440202132132 has 96 divisors (see below), whose sum is σ = 114641548779520. Its totient is φ = 11968615002240.

The previous prime is 42440202132101. The next prime is 42440202132161. The reversal of 42440202132132 is 23123120204424.

It is a self number, because there is not a number n which added to its sum of digits gives 42440202132132.

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 31 ways as a sum of consecutive naturals, for example, 20728758 + ... + 22683954.

Almost surely, 242440202132132 is an apocalyptic number.

42440202132132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42440202132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57320774389760).

42440202132132 is an abundant number, since it is smaller than the sum of its proper divisors (72201346647388).

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

42440202132132 is a wasteful number, since it uses less digits than its factorization.

42440202132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958561 (or 1958559 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 42440202132132 its reverse (23123120204424), we get a palindrome (65563322336556).

The spelling of 42440202132132 in words is "forty-two trillion, four hundred forty billion, two hundred two million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1659 2212 3271 3318 6542 6636 9813 13084 19626 22897 39252 45794 68691 91588 137382 258409 274764 516818 775227 1033636 1550454 1808863 1955197 3100908 3617726 3910394 5426589 5865591 7235452 7820788 10853178 11731182 13686379 21706356 23462364 27372758 41059137 54745516 82118274 154460563 164236548 308921126 463381689 617842252 926763378 1081223941 1853526756 2162447882 3243671823 4324895764 6395449387 6487343646 12790898774 12974687292 19186348161 25581797548 38372696322 44768145709 76745392644 89536291418 134304437127 179072582836 268608874254 505240501573 537217748508 1010481003146 1515721504719 2020962006292 3031443009438 3536683511011 6062886018876 7073367022022 10610050533033 14146734044044 21220101066066 42440202132132