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100592143040 = 2653140924793
BaseRepresentation
bin101110110101111000…
…0100100101011000000
3100121122102212022210102
41131223300210223000
53122003042034130
6114113354421532
710160524052024
oct1355360445300
9317572768712
10100592143040
113972a707a14
12175b41318a8
1396413b703c
144c23960384
15293b204645
hex176bc24ac0

100592143040 has 112 divisors (see below), whose sum is σ = 247876527360. Its totient is φ = 38842122240.

The previous prime is 100592143031. The next prime is 100592143063. The reversal of 100592143040 is 40341295001.

It is a junction number, because it is equal to n+sod(n) for n = 100592142994 and 100592143012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4044884 + ... + 4069676.

It is an arithmetic number, because the mean of its divisors is an integer number (2213183280).

Almost surely, 2100592143040 is an apocalyptic number.

100592143040 is a gapful number since it is divisible by the number (10) 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 100592143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123938263680).

100592143040 is an abundant number, since it is smaller than the sum of its proper divisors (147284384320).

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

100592143040 is a wasteful number, since it uses less digits than its factorization.

100592143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25250 (or 25240 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 100592143040 in words is "one hundred billion, five hundred ninety-two million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 409 496 620 818 992 1240 1636 1984 2045 2480 3272 4090 4960 6544 8180 9920 12679 13088 16360 24793 25358 26176 32720 49586 50716 63395 65440 99172 101432 123965 126790 130880 198344 202864 247930 253580 396688 405728 495860 507160 768583 793376 811456 991720 1014320 1537166 1586752 1983440 2028640 3074332 3842915 3966880 4057280 6148664 7685830 7933760 10140337 12297328 15371660 20280674 24594656 30743320 40561348 49189312 50701685 61486640 81122696 101403370 122973280 162245392 202806740 245946560 314350447 324490784 405613480 628700894 648981568 811226960 1257401788 1571752235 1622453920 2514803576 3143504470 3244907840 5029607152 6287008940 10059214304 12574017880 20118428608 25148035760 50296071520 100592143040