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142522516631340 = 223251941673250477
BaseRepresentation
bin100000011001111110011011…
…111110011110111100101100
3200200122000112020022111020200
4200121332123332132330230
5122140042103224200330
61223041535032513500
742006624552625146
oct4031763376367454
9620560466274220
10142522516631340
11414595070a195a
1213b9999a54b890
13616aa7aca0921
14272a1ab5c5c96
15117250ec7ba60
hex819f9bf9ef2c

142522516631340 has 72 divisors (see below), whose sum is σ = 455071895219760. Its totient is φ = 36005688411264.

The previous prime is 142522516631329. The next prime is 142522516631347. The reversal of 142522516631340 is 43136615225241.

142522516631340 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 2 + 2 + 5 + 1 + 6 + 631 + 3 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (142522516631347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20836621819 + ... + 20836628658.

Almost surely, 2142522516631340 is an apocalyptic number.

142522516631340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142522516631340 is an abundant number, since it is smaller than the sum of its proper divisors (312549378588420).

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

142522516631340 is a wasteful number, since it uses less digits than its factorization.

142522516631340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41673250511 (or 41673250506 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 142522516631340 in words is "one hundred forty-two trillion, five hundred twenty-two billion, five hundred sixteen million, six hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 41673250477 83346500954 125019751431 166693001908 208366252385 250039502862 375059254293 416732504770 500079005724 625098757155 750118508586 791791759063 833465009540 1250197514310 1500237017172 1583583518126 1875296271465 2375375277189 2500395028620 3167167036252 3750592542930 3958958795315 4750750554378 7126125831567 7501185085860 7917917590630 9501501108756 11876876385945 14252251663134 15835835181260 23753752771890 28504503326268 35630629157835 47507505543780 71261258315670 142522516631340