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142424404634430 = 23255033146110109
BaseRepresentation
bin100000011000100011000100…
…000010111010101100111110
3200200021122021122021122100100
4200120203010002322230332
5122131440140041300210
61222524511312141530
741666552342461632
oct4030430402725476
9620248248248310
10142424404634430
114142093a468496
1213b82978b378a6
136161743684299
1427255411c8dc2
15116ebbb6805c0
hex8188c40bab3e

142424404634430 has 48 divisors (see below), whose sum is σ = 371039641932960. Its totient is φ = 37904334581184.

The previous prime is 142424404634419. The next prime is 142424404634461. The reversal of 142424404634430 is 34436404424241.

142424404634430 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 2 + 4 + 4 + 0 + 4 + 634 + 4 + 3 + 0 = 666.

It is a super-2 number, since 2×1424244046344302 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1573009785 + ... + 1573100324.

It is an arithmetic number, because the mean of its divisors is an integer number (7729992540270).

Almost surely, 2142424404634430 is an apocalyptic number.

142424404634430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142424404634430 is an abundant number, since it is smaller than the sum of its proper divisors (228615237298530).

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

142424404634430 is a wasteful number, since it uses less digits than its factorization.

142424404634430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146110625 (or 3146110622 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 45.

The spelling of 142424404634430 in words is "one hundred forty-two trillion, four hundred twenty-four billion, four hundred four million, six hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 503 1006 1509 2515 3018 4527 5030 7545 9054 15090 22635 45270 3146110109 6292220218 9438330327 15730550545 18876660654 28314990981 31461101090 47191651635 56629981962 94383303270 141574954905 283149909810 1582493384827 3164986769654 4747480154481 7912466924135 9494960308962 14242440463443 15824933848270 23737400772405 28484880926886 47474801544810 71212202317215 142424404634430