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148296138048432 = 243211147163644663
BaseRepresentation
bin100001101101111111100010…
…101000010100001110110000
3201110001222020211121111121100
4201231333202220110032300
5123414140442320022212
61243222145541124400
743144020355135653
oct4155774250241660
9643058224544540
10148296138048432
1143285047946370
12147709506b9700
13649935bcb79ca
1428897ddc1189a
1512227c9a58bdc
hex86dfe2a143b0

148296138048432 has 120 divisors (see below), whose sum is σ = 453060395993088. Its totient is φ = 44907673507200.

The previous prime is 148296138048427. The next prime is 148296138048479. The reversal of 148296138048432 is 234840831692841.

148296138048432 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 9 + 613 + 8 + 0 + 4 + 8 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×1482961380484322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 148296138048432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29492268 + ... + 34152395.

Almost surely, 2148296138048432 is an apocalyptic number.

148296138048432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148296138048432 is an abundant number, since it is smaller than the sum of its proper divisors (304764257944656).

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

148296138048432 is a wasteful number, since it uses less digits than its factorization.

148296138048432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63646159 (or 63646150 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 148296138048432 in words is "one hundred forty-eight trillion, two hundred ninety-six billion, one hundred thirty-eight million, forty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1471 1584 2942 4413 5884 8826 11768 13239 16181 17652 23536 26478 32362 35304 48543 52956 64724 70608 97086 105912 129448 145629 194172 211824 258896 291258 388344 582516 776688 1165032 2330064 63644663 127289326 190933989 254578652 381867978 509157304 572801967 700091293 763735956 1018314608 1145603934 1400182586 1527471912 2100273879 2291207868 2800365172 3054943824 4200547758 4582415736 5600730344 6300821637 8401095516 9164831472 11201460688 12601643274 16802191032 25203286548 33604382064 50406573096 93621299273 100813146192 187242598546 280863897819 374485197092 561727795638 748970394184 842591693457 1029834292003 1123455591276 1497940788368 1685183386914 2059668584006 2246911182552 3089502876009 3370366773828 4119337168012 4493822365104 6179005752018 6740733547656 8238674336024 9268508628027 12358011504036 13481467095312 16477348672048 18537017256054 24716023008072 37074034512108 49432046016144 74148069024216 148296138048432