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114552250020 = 2232513163300331
BaseRepresentation
bin110101010101111011…
…0001001111010100100
3101221200100021020102200
41222223312021322210
53334100334000040
6124342524134500
711163466026255
oct1525366117244
9357610236380
10114552250020
1144643838a0a
121a24b397430
13aa57668c80
145789a10b2c
152ea6aa7630
hex1aabd89ea4

114552250020 has 144 divisors (see below), whose sum is σ = 376501000512. Its totient is φ = 28024392960.

The previous prime is 114552250019. The next prime is 114552250031. The reversal of 114552250020 is 20052255411.

114552250020 is a `hidden beast` number, since 114 + 5 + 5 + 22 + 500 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231255 + ... + 531585.

Almost surely, 2114552250020 is an apocalyptic number.

114552250020 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 114552250020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188250500256).

114552250020 is an abundant number, since it is smaller than the sum of its proper divisors (261948750492).

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

114552250020 is a wasteful number, since it uses less digits than its factorization.

114552250020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300522 (or 300517 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 114552250020 in words is "one hundred fourteen billion, five hundred fifty-two million, two hundred fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 163 180 195 234 260 326 390 468 489 585 652 780 815 978 1170 1467 1630 1956 2119 2340 2445 2934 3260 4238 4890 5868 6357 7335 8476 9780 10595 12714 14670 19071 21190 25428 29340 31785 38142 42380 63570 76284 95355 127140 190710 300331 381420 600662 900993 1201324 1501655 1801986 2702979 3003310 3603972 3904303 4504965 5405958 6006620 7808606 9009930 10811916 11712909 13514895 15617212 18019860 19521515 23425818 27029790 35138727 39043030 46851636 48953953 54059580 58564545 70277454 78086060 97907906 117129090 140554908 146861859 175693635 195815812 234258180 244769765 293723718 351387270 440585577 489539530 587447436 636401389 702774540 734309295 881171154 979079060 1272802778 1468618590 1762342308 1909204167 2202927885 2545605556 2937237180 3182006945 3818408334 4405855770 5727612501 6364013890 7636816668 8811711540 9546020835 11455225002 12728027780 19092041670 22910450004 28638062505 38184083340 57276125010 114552250020