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142104032141120 = 2657161893918667
BaseRepresentation
bin100000010011111000101100…
…010110110101111101000000
3200122011000100022220201120222
4200103320230112311331000
5122111213024212003440
61222121405141522212
741634451250303120
oct4023705426657500
9618130308821528
10142104032141120
1141307a88554465
1213b30868a13368
13613a477c4a60a
142713c2c51ac80
1511666ba6c72b5
hex813e2c5b5f40

142104032141120 has 112 divisors (see below), whose sum is σ = 386749960072320. Its totient is φ = 48718360479744.

The previous prime is 142104032141101. The next prime is 142104032141143. The reversal of 142104032141120 is 21141230401241.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 142104032141120.

It is a congruent number.

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, 34304027 + ... + 38222693.

Almost surely, 2142104032141120 is an apocalyptic number.

142104032141120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142104032141120 is an abundant number, since it is smaller than the sum of its proper divisors (244645927931200).

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

142104032141120 is a wasteful number, since it uses less digits than its factorization.

142104032141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934880 (or 3934870 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 142104032141120 its reverse (21141230401241), we get a palindrome (163245262542361).

The spelling of 142104032141120 in words is "one hundred forty-two trillion, one hundred four billion, thirty-two million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 16189 32378 64756 80945 113323 129512 161890 226646 259024 323780 453292 518048 566615 647560 906584 1036096 1133230 1295120 1813168 2266460 2590240 3626336 3918667 4532920 5180480 7252672 7837334 9065840 15674668 18131680 19593335 27430669 31349336 36263360 39186670 54861338 62698672 78373340 109722676 125397344 137153345 156746680 219445352 250794688 274306690 313493360 438890704 548613380 626986720 877781408 1097226760 1253973440 1755562816 2194453520 4388907040 8777814080 63439300063 126878600126 253757200252 317196500315 444075100441 507514400504 634393000630 888150200882 1015028801008 1268786001260 1776300401764 2030057602016 2220375502205 2537572002520 3552600803528 4060115204032 4440751004410 5075144005040 7105201607056 8881502008820 10150288010080 14210403214112 17763004017640 20300576020160 28420806428224 35526008035280 71052016070560 142104032141120