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114610031632 = 24192151331397
BaseRepresentation
bin110101010111101001…
…0100100110000010000
3101221211100222211220101
41222233102210300100
53334210132003012
6124352350422144
711165100123625
oct1525722446020
9357740884811
10114610031632
1144673414108
121a266801954
13aa6661a285
14579357234c
152eabbbcd57
hex1aaf4a4c10

114610031632 has 120 divisors (see below), whose sum is σ = 237220060992. Its totient is φ = 53631072000.

The previous prime is 114610031621. The next prime is 114610031647. The reversal of 114610031632 is 236130016411.

It is a self number, because there is not a number n which added to its sum of digits gives 114610031632.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288690058 + ... + 288690454.

Almost surely, 2114610031632 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 114610031632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118610030496).

114610031632 is an abundant number, since it is smaller than the sum of its proper divisors (122610029360).

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

114610031632 is a wasteful number, since it uses less digits than its factorization.

114610031632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 114610031632 in words is "one hundred fourteen billion, six hundred ten million, thirty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 151 152 302 304 331 361 397 604 662 722 794 1208 1324 1444 1588 2416 2648 2869 2888 3176 5296 5738 5776 6289 6352 7543 11476 12578 15086 22952 25156 30172 45904 49981 50312 54511 59947 60344 99962 100624 109022 119491 119894 120688 131407 143317 199924 218044 238982 239788 262814 286634 399848 436088 477964 479576 525628 573268 799696 872176 949639 955928 959152 1051256 1138993 1146536 1899278 1911856 2102512 2277986 2293072 2496733 3798556 4555972 4993466 7597112 9111944 9986932 15194224 18043141 18223888 19842457 19973864 21640867 36086282 39684914 39947728 43281734 47437927 72172564 79369828 86563468 94875854 144345128 158739656 173126936 189751708 288690256 317479312 346253872 377006683 379503416 754013366 759006832 1508026732 3016053464 6032106928 7163126977 14326253954 28652507908 57305015816 114610031632