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100142385624 = 23326720759201
BaseRepresentation
bin101110101000011110…
…0111000100111011000
3100120111002120021121100
41131100330320213120
53120042422314444
6114001010511400
710143423142641
oct1352074704730
9316432507540
10100142385624
1139519847576
12174a9595560
13959c1738a8
144bbdd266c8
1529119b2e69
hex1750f389d8

100142385624 has 48 divisors (see below), whose sum is σ = 275267018520. Its totient is φ = 32882572800.

The previous prime is 100142385599. The next prime is 100142385643. The reversal of 100142385624 is 426583241001.

It is a happy number.

100142385624 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 4 + 23 + 8 + 5 + 624 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10374777 + ... + 10384424.

Almost surely, 2100142385624 is an apocalyptic number.

It is an amenable number.

100142385624 is an abundant number, since it is smaller than the sum of its proper divisors (175124632896).

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

100142385624 is a wasteful number, since it uses less digits than its factorization.

100142385624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20759280 (or 20759273 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 100142385624 in words is "one hundred billion, one hundred forty-two million, three hundred eighty-five thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4824 20759201 41518402 62277603 83036804 124555206 166073608 186832809 249110412 373665618 498220824 747331236 1390866467 1494662472 2781732934 4172599401 5563465868 8345198802 11126931736 12517798203 16690397604 25035596406 33380795208 50071192812 100142385624