Search a number
-
+
157732366440 = 2335111003911903
BaseRepresentation
bin1001001011100110010…
…1001110100001101000
3120002010122021102112210
42102321211032201220
510041013441211230
6200243344005120
714252516664435
oct2227145164150
9502118242483
10157732366440
1160991899540
12266a03007a0
1311b4951790c
1478c46acb8c
154182860eb0
hex24b994e868

157732366440 has 128 divisors (see below), whose sum is σ = 516309811200. Its totient is φ = 38231128320.

The previous prime is 157732366433. The next prime is 157732366469. The reversal of 157732366440 is 44663237751.

157732366440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 157732366440.

It is an unprimeable number.

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, 13245529 + ... + 13257431.

It is an arithmetic number, because the mean of its divisors is an integer number (4033670400).

Almost surely, 2157732366440 is an apocalyptic number.

157732366440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157732366440 is an abundant number, since it is smaller than the sum of its proper divisors (358577444760).

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

157732366440 is a wasteful number, since it uses less digits than its factorization.

157732366440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21967 (or 21963 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 157732366440 in words is "one hundred fifty-seven billion, seven hundred thirty-two million, three hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 10039 11903 20078 23806 30117 35709 40156 47612 50195 59515 60234 71418 80312 95224 100390 110429 119030 120468 130933 142836 150585 178545 200780 220858 238060 240936 261866 285672 301170 331287 357090 392799 401560 441716 476120 523732 552145 602340 654665 662574 714180 785598 883432 1047464 1104290 1204680 1309330 1325148 1428360 1571196 1656435 1963995 2208580 2618660 2650296 3142392 3312870 3927990 4417160 5237320 6625740 7855980 13251480 15711960 119494217 238988434 358482651 477976868 597471085 716965302 955953736 1194942170 1314436387 1433930604 1792413255 2389884340 2628872774 2867861208 3584826510 3943309161 4779768680 5257745548 6572181935 7169653020 7886618322 10515491096 13144363870 14339306040 15773236644 19716545805 26288727740 31546473288 39433091610 52577455480 78866183220 157732366440