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12440130001332 = 22311318934158539
BaseRepresentation
bin1011010100000111000110…
…0001111001100110110100
31122001021011001022202120220
42311001301201321212310
53112304341240020312
642242530011254340
72422525006211655
oct265016141714664
948037131282526
1012440130001332
113a66914088160
12148ab9244a3b0
136c3139cc9737
1431016970d52c
151688e292ec8c
hexb50718799b4

12440130001332 has 96 divisors (see below), whose sum is σ = 33054535987200. Its totient is φ = 3607141612800.

The previous prime is 12440130001309. The next prime is 12440130001337. The reversal of 12440130001332 is 23310003104421.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12440130001337) 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, 16715082 + ... + 17443457.

It is an arithmetic number, because the mean of its divisors is an integer number (344318083200).

Almost surely, 212440130001332 is an apocalyptic number.

12440130001332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12440130001332 is an abundant number, since it is smaller than the sum of its proper divisors (20614405985868).

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

12440130001332 is a wasteful number, since it uses less digits than its factorization.

12440130001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34158677 (or 34158675 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12440130001332 its reverse (23310003104421), we get a palindrome (35750133105753).

The spelling of 12440130001332 in words is "twelve trillion, four hundred forty billion, one hundred thirty million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 89 93 124 132 178 186 267 341 356 372 534 682 979 1023 1068 1364 1958 2046 2759 2937 3916 4092 5518 5874 8277 11036 11748 16554 30349 33108 60698 91047 121396 182094 364188 34158539 68317078 102475617 136634156 204951234 375743929 409902468 751487858 1058914709 1127231787 1502975716 2117829418 2254463574 3040109971 3176744127 4235658836 4508927148 6080219942 6353488254 9120329913 11648061799 12160439884 12706976508 18240659826 23296123598 33441209681 34944185397 36481319652 46592247196 66882419362 69888370794 94243409101 100323629043 133764838724 139776741588 188486818202 200647258086 282730227303 376973636404 401294516172 565460454606 1036677500111 1130920909212 2073355000222 3110032500333 4146710000444 6220065000666 12440130001332