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13114111123232 = 257461541234743
BaseRepresentation
bin1011111011010101110111…
…1011110101111100100000
31201102200210221201012111222
42332311131323311330200
53204330144421420412
643520312305554212
72522314620216020
oct276653573657440
951380727635458
1013114111123232
1141a6732932609
121579729345968
13741869b13402
14334a25207a80
1517b1dc655072
hexbed5def5f20

13114111123232 has 96 divisors (see below), whose sum is σ = 29625541634304. Its totient is φ = 5597751628800.

The previous prime is 13114111123199. The next prime is 13114111123241. The reversal of 13114111123232 is 23232111141131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55748453 + ... + 55983195.

It is an arithmetic number, because the mean of its divisors is an integer number (308599392024).

Almost surely, 213114111123232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114111123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14812770817152).

13114111123232 is an abundant number, since it is smaller than the sum of its proper divisors (16511430511072).

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

13114111123232 is a wasteful number, since it uses less digits than its factorization.

13114111123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235762 (or 235754 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

Adding to 13114111123232 its reverse (23232111141131), we get a palindrome (36346222264363).

The spelling of 13114111123232 in words is "thirteen trillion, one hundred fourteen billion, one hundred eleven million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 461 541 922 1082 1844 2164 3227 3688 3787 4328 6454 7376 7574 8656 12908 14752 15148 17312 25816 30296 51632 60592 103264 121184 234743 249401 469486 498802 938972 997604 1643201 1745807 1877944 1995208 3286402 3491614 3755888 3990416 6572804 6983228 7511776 7980832 13145608 13966456 26291216 27932912 52582432 55865824 108216523 126995963 216433046 253991926 432866092 507983852 757515661 865732184 888971741 1015967704 1515031322 1731464368 1777943482 2031935408 3030062644 3462928736 3555886964 4063870816 6060125288 7111773928 12120250576 14223547856 24240501152 28447095712 58545138943 117090277886 234180555772 409815972601 468361111544 819631945202 936722223088 1639263890404 1873444446176 3278527780808 6557055561616 13114111123232