Search a number
-
+
142245461556 = 223311313862427
BaseRepresentation
bin1000010001111001111…
…1010111111000110100
3111121011022221010221000
42010132133113320310
54312304314232211
6145202513523300
713163655321312
oct2043637277064
9447138833830
10142245461556
11553649446a0
1223699873530
131054bb50083
146c559410b2
153a77e1d656
hex211e7d7e34

142245461556 has 96 divisors (see below), whose sum is σ = 415288258560. Its totient is φ = 41714200800.

The previous prime is 142245461551. The next prime is 142245461599. The reversal of 142245461556 is 655164542241.

142245461556 is a `hidden beast` number, since 1 + 4 + 2 + 24 + 5 + 4 + 615 + 5 + 6 = 666.

It is a super-2 number, since 2×1422454615562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142245461551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1894386 + ... + 1968041.

It is an arithmetic number, because the mean of its divisors is an integer number (4325919360).

Almost surely, 2142245461556 is an apocalyptic number.

It is an amenable number.

142245461556 is an abundant number, since it is smaller than the sum of its proper divisors (273042797004).

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

142245461556 is a wasteful number, since it uses less digits than its factorization.

142245461556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862482 (or 3862474 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 142245461556 in words is "one hundred forty-two billion, two hundred forty-five million, four hundred sixty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 3069 3348 4092 6138 9207 12276 18414 36828 3862427 7724854 11587281 15449708 23174562 34761843 42486697 46349124 69523686 84973394 104285529 119735237 127460091 139047372 169946788 208571058 239470474 254920182 359205711 382380273 417142116 478940948 509840364 718411422 764760546 1077617133 1147140819 1317087607 1436822844 1529521092 2155234266 2294281638 2634175214 3232851399 3951262821 4310468532 4588563276 5268350428 6465702798 7902525642 11853788463 12931405596 15805051284 23707576926 35561365389 47415153852 71122730778 142245461556