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157331461140 = 223257124866239
BaseRepresentation
bin1001001010000110101…
…1111001010000010100
3120001002200220022212100
42102201223321100110
510034203323224030
6200135503122100
714236551232350
oct2224153712024
9501080808770
10157331461140
11607a6565447
12265a9ba3330
1311ab444a249
147887350460
15415c56e360
hex24a1af9414

157331461140 has 72 divisors (see below), whose sum is σ = 545415736320. Its totient is φ = 35961476544.

The previous prime is 157331461129. The next prime is 157331461169. The reversal of 157331461140 is 41164133751.

157331461140 is a `hidden beast` number, since 1 + 5 + 7 + 3 + 31 + 4 + 611 + 4 + 0 = 666.

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 = 157331461095 and 157331461104.

It is a congruent number.

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, 62431860 + ... + 62434379.

It is an arithmetic number, because the mean of its divisors is an integer number (7575218560).

Almost surely, 2157331461140 is an apocalyptic number.

157331461140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157331461140 is an abundant number, since it is smaller than the sum of its proper divisors (388084275180).

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

157331461140 is a wasteful number, since it uses less digits than its factorization.

157331461140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124866261 (or 124866256 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 157331461140 its reverse (41164133751), we get a palindrome (198495594891).

The spelling of 157331461140 in words is "one hundred fifty-seven billion, three hundred thirty-one million, four hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 124866239 249732478 374598717 499464956 624331195 749197434 874063673 1123796151 1248662390 1498394868 1748127346 1872993585 2247592302 2497324780 2622191019 3496254692 3745987170 4370318365 4495184604 5244382038 5618980755 7491974340 7866573057 8740636730 10488764076 11237961510 13110955095 15733146114 17481273460 22475923020 26221910190 31466292228 39332865285 52443820380 78665730570 157331461140