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1114550121432 = 2331129151964097
BaseRepresentation
bin10000001110000000010…
…111010011001111011000
310221112211220200112001010
4100032000113103033120
5121230044312341212
62212003421053520
7143344406501436
oct20160027231730
93845756615033
101114550121432
1139a75053a640
121600106b72a0
138114236a997
143bd31a61d56
151ded304d03c
hex103805d33d8

1114550121432 has 128 divisors (see below), whose sum is σ = 3165326553600. Its totient is φ = 323936256000.

The previous prime is 1114550121409. The next prime is 1114550121439. The reversal of 1114550121432 is 2341210554111.

It is a self number, because there is not a number n which added to its sum of digits gives 1114550121432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114550121439) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 674008 + ... + 1638104.

It is an arithmetic number, because the mean of its divisors is an integer number (24729113700).

Almost surely, 21114550121432 is an apocalyptic number.

1114550121432 is a gapful number since it is divisible by the number (12) 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 1114550121432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582663276800).

1114550121432 is an abundant number, since it is smaller than the sum of its proper divisors (2050776432168).

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

1114550121432 is a wasteful number, since it uses less digits than its factorization.

1114550121432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964297 (or 964293 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 1114550121432 its reverse (2341210554111), we get a palindrome (3455760675543).

The spelling of 1114550121432 in words is "one trillion, one hundred fourteen billion, five hundred fifty million, one hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 151 174 232 264 302 319 348 453 604 638 696 906 957 1208 1276 1661 1812 1914 2552 3322 3624 3828 4379 4983 6644 7656 8758 9966 13137 13288 17516 19932 26274 35032 39864 48169 52548 96338 105096 144507 192676 289014 385352 578028 964097 1156056 1928194 2892291 3856388 5784582 7712776 10605067 11569164 21210134 23138328 27958813 31815201 42420268 55917626 63630402 83876439 84840536 111835252 127260804 145578647 167752878 223670504 254521608 291157294 307546943 335505756 436735941 582314588 615093886 671011512 873471882 922640829 1164629176 1230187772 1601365117 1746943764 1845281658 2460375544 3202730234 3493887528 3690563316 4221780763 4804095351 6405460468 7381126632 8443561526 9608190702 12665342289 12810920936 16887123052 19216381404 25330684578 33774246104 38432762808 46439588393 50661369156 92879176786 101322738312 139318765179 185758353572 278637530358 371516707144 557275060716 1114550121432