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151112052432540 = 2232513920113003307
BaseRepresentation
bin100010010110111110000100…
…001101001101111010011100
3201211001011121202022120102200
4202112332010031031322130
5124301304440410320130
61253215530223051500
743554325346363253
oct4226760415157234
9654034552276380
10151112052432540
114417029712a201
1214b46640740b90
136641a61606374
142945c1046d79a
151270b8805b760
hex896f8434de9c

151112052432540 has 144 divisors (see below), whose sum is σ = 461900601402240. Its totient is φ = 39986736877440.

The previous prime is 151112052432533. The next prime is 151112052432541. The reversal of 151112052432540 is 45234250211151.

151112052432540 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 1 + 20 + 52 + 43 + 2 + 540 = 666.

151112052432540 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 151112052432495 and 151112052432504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151112052432541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48813567 + ... + 51816873.

Almost surely, 2151112052432540 is an apocalyptic number.

151112052432540 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 151112052432540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230950300701120).

151112052432540 is an abundant number, since it is smaller than the sum of its proper divisors (310788548969700).

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

151112052432540 is a wasteful number, since it uses less digits than its factorization.

151112052432540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005472 (or 3005467 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 151112052432540 in words is "one hundred fifty-one trillion, one hundred twelve billion, fifty-two million, four hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 695 834 1251 1390 1668 2011 2085 2502 2780 4022 4170 5004 6033 6255 8044 8340 10055 12066 12510 18099 20110 24132 25020 30165 36198 40220 60330 72396 90495 120660 180990 279529 361980 559058 838587 1118116 1397645 1677174 2515761 2795290 3003307 3354348 4192935 5031522 5590580 6006614 8385870 9009921 10063044 12013228 12578805 15016535 16771740 18019842 25157610 27029763 30033070 36039684 45049605 50315220 54059526 60066140 90099210 108119052 135148815 180198420 270297630 417459673 540595260 834919346 1252379019 1669838692 2087298365 2504758038 3757137057 4174596730 5009516076 6039650377 6261895095 7514274114 8349193460 12079300754 12523790190 15028548228 18118951131 18785685285 24158601508 25047580380 30198251885 36237902262 37571370570 54356853393 60396503770 72475804524 75142741140 90594755655 108713706786 120793007540 181189511310 217427413572 271784266965 362379022620 543568533930 839511402403 1087137067860 1679022804806 2518534207209 3358045609612 4197557012015 5037068414418 7555602621627 8395114024030 10074136828836 12592671036045 15111205243254 16790228048060 25185342072090 30222410486508 37778013108135 50370684144180 75556026216270 151112052432540