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142512261045012 = 223312712838098379
BaseRepresentation
bin100000011001110100111000…
…101100100001101100010100
3200200121001001111121201121000
4200121310320230201230110
5122134410102311420022
61223033121240023300
742006112452603435
oct4031647054415424
9620531044551530
10142512261045012
1141455124089081
1213b979b7a61b30
136169b05366151
1427298b753148c
15117210e7346ac
hex819d38b21b14

142512261045012 has 96 divisors (see below), whose sum is σ = 372675785932800. Its totient is φ = 47093299023456.

The previous prime is 142512261045001. The next prime is 142512261045017. The reversal of 142512261045012 is 210540162215241.

142512261045012 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 1 + 22 + 610 + 4 + 5 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142512261045017) 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, 13548439 + ... + 21646817.

It is an arithmetic number, because the mean of its divisors is an integer number (3882039436800).

Almost surely, 2142512261045012 is an apocalyptic number.

142512261045012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142512261045012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186337892966400).

142512261045012 is an abundant number, since it is smaller than the sum of its proper divisors (230163524887788).

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

142512261045012 is a wasteful number, since it uses less digits than its factorization.

142512261045012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8099802 (or 8099794 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 142512261045012 in words is "one hundred forty-two trillion, five hundred twelve billion, two hundred sixty-one million, forty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 381 508 762 1143 1283 1524 2286 2566 3429 3849 4572 5132 6858 7698 11547 13716 15396 23094 34641 46188 69282 138564 162941 325882 488823 651764 977646 1466469 1955292 2932938 4399407 5865876 8098379 8798814 16196758 17597628 24295137 32393516 48590274 72885411 97180548 145770822 218656233 291541644 437312466 874624932 1028494133 2056988266 3085482399 4113976532 6170964798 9256447197 10390220257 12341929596 18512894394 20780440514 27769341591 31170660771 37025788788 41560881028 55538683182 62341321542 93511982313 111077366364 124682643084 187023964626 280535946939 374047929252 561071893878 1122143787756 1319557972639 2639115945278 3958673917917 5278231890556 7917347835834 11876021753751 15834695671668 23752043507502 35628065261253 47504087015004 71256130522506 142512261045012