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140141053012032 = 2633229354149111
BaseRepresentation
bin11111110111010100100001…
…101011101110100001000000
3200101012100112221100222022000
4133313110201223232201000
5121332032334032341112
61214015524434344000
741342566636100232
oct3767244153564100
9611170487328260
10140141053012032
1140720539a56966
121387433712b000
1360273244b0c27
142686c12706252
1511305cc8b17dc
hex7f7521aee840

140141053012032 has 112 divisors (see below), whose sum is σ = 413787822460800. Its totient is φ = 46509694318080.

The previous prime is 140141053012001. The next prime is 140141053012199. The reversal of 140141053012032 is 230210350141041.

140141053012032 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 4 + 1 + 0 + 530 + 120 + 3 + 2 = 666.

140141053012032 is digitally balanced in base 4, because in such base 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 140141053011987 and 140141053012005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176678844 + ... + 177470267.

Almost surely, 2140141053012032 is an apocalyptic number.

140141053012032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140141053012032 is an abundant number, since it is smaller than the sum of its proper divisors (273646769448768).

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

140141053012032 is a wasteful number, since it uses less digits than its factorization.

140141053012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354149361 (or 354149345 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 140141053012032 in words is "one hundred forty trillion, one hundred forty-one billion, fifty-three million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 229 288 432 458 576 687 864 916 1374 1728 1832 2061 2748 3664 4122 5496 6183 7328 8244 10992 12366 14656 16488 21984 24732 32976 43968 49464 65952 98928 131904 197856 395712 354149111 708298222 1062447333 1416596444 2124894666 2833192888 3187341999 4249789332 5666385776 6374683998 8499578664 9562025997 11332771552 12749367996 16999157328 19124051994 22665543104 25498735992 33998314656 38248103988 50997471984 67996629312 76496207976 81100146419 101994943968 152992415952 162200292838 203989887936 243300439257 305984831904 324400585676 486600878514 611969663808 648801171352 729901317771 973201757028 1297602342704 1459802635542 1946403514056 2189703953313 2595204685408 2919605271084 3892807028112 4379407906626 5190409370816 5839210542168 7785614056224 8758815813252 11678421084336 15571228112448 17517631626504 23356842168672 35035263253008 46713684337344 70070526506016 140141053012032