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113503541440 = 26510118711877
BaseRepresentation
bin110100110110101010…
…1101001100011000000
3101211222020221022201011
41221231111221203000
53324423401311230
6124050502450304
711125503116662
oct1515525514300
9354866838634
10113503541440
1144155876703
1219bb8133994
13a91b306453
1456ca624532
152e449a3e2a
hex1a6d5698c0

113503541440 has 112 divisors (see below), whose sum is σ = 273247737984. Its totient is φ = 44903936000.

The previous prime is 113503541429. The next prime is 113503541461. The reversal of 113503541440 is 44145305311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60469782 + ... + 60471658.

Almost surely, 2113503541440 is an apocalyptic number.

113503541440 is a gapful number since it is divisible by the number (10) 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 113503541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136623868992).

113503541440 is an abundant number, since it is smaller than the sum of its proper divisors (159744196544).

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

113503541440 is a wasteful number, since it uses less digits than its factorization.

113503541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 113503541440 its reverse (44145305311), we get a palindrome (157648846751).

The spelling of 113503541440 in words is "one hundred thirteen billion, five hundred three million, five hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 160 202 320 404 505 808 1010 1616 1871 1877 2020 3232 3742 3754 4040 6464 7484 7508 8080 9355 9385 14968 15016 16160 18710 18770 29936 30032 32320 37420 37540 59872 60064 74840 75080 119744 120128 149680 150160 188971 189577 299360 300320 377942 379154 598720 600640 755884 758308 944855 947885 1511768 1516616 1889710 1895770 3023536 3033232 3511867 3779420 3791540 6047072 6066464 7023734 7558840 7583080 12094144 12132928 14047468 15117680 15166160 17559335 28094936 30235360 30332320 35118670 56189872 60470720 60664640 70237340 112379744 140474680 224759488 280949360 354698567 561898720 709397134 1123797440 1418794268 1773492835 2837588536 3546985670 5675177072 7093971340 11350354144 14187942680 22700708288 28375885360 56751770720 113503541440