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142145057475 = 32524779229743
BaseRepresentation
bin1000010001100010000…
…0010111001011000011
3111120220100000002102100
42010120200113023003
54312103113314400
6145144525521443
713161326024121
oct2043040271303
9446810002370
10142145057475
11553131a7613
1223670113283
13105340c7685
146c46486911
153a6e1d9100
hex21188172c3

142145057475 has 144 divisors (see below), whose sum is σ = 264811622400. Its totient is φ = 72840418560.

The previous prime is 142145057471. The next prime is 142145057567. The reversal of 142145057475 is 574750541241.

142145057475 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 4 + 5 + 0 + 574 + 75 = 666.

It is not a de Polignac number, because 142145057475 - 22 = 142145057471 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 142145057475.

It is not an unprimeable number, because it can be changed into a prime (142145057471) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 191311954 + ... + 191312696.

It is an arithmetic number, because the mean of its divisors is an integer number (1838969600).

Almost surely, 2142145057475 is an apocalyptic number.

142145057475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142145057475 is a deficient number, since it is larger than the sum of its proper divisors (122666564925).

142145057475 is a wasteful number, since it uses less digits than its factorization.

142145057475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 142145057475 in words is "one hundred forty-two billion, one hundred forty-five million, fifty-seven thousand, four hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 47 75 79 141 225 229 235 237 395 423 687 705 711 743 1145 1175 1185 1975 2061 2115 2229 3435 3525 3555 3713 3715 5725 5925 6687 10305 10575 10763 11139 11145 17175 17775 18091 18565 18575 32289 33417 33435 34921 51525 53815 54273 55695 55725 58697 90455 92825 96867 104763 161445 162819 167085 167175 170147 174605 176091 269075 271365 278475 293485 314289 452275 484335 510441 523815 528273 807225 814095 835425 850277 850735 873025 880455 1356825 1467425 1531323 1571445 2421675 2550831 2552205 2619075 2641365 2758759 4070475 4251385 4253675 4402275 7652493 7656615 7857225 7996909 8276277 12754155 12761025 13206825 13441613 13793795 21256925 23990727 24828831 38262465 38283075 39984545 40324839 41381385 63770775 67208065 68968975 71972181 119953635 120974517 124144155 191312325 199922725 201624195 206906925 336040325 359860905 599768175 604872585 620720775 631755811 1008120975 1799304525 1895267433 3024362925 3158779055 5685802299 9476337165 15793895275 28429011495 47381685825 142145057475