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100444034040 = 23357119576231
BaseRepresentation
bin101110110001011101…
…1100101001111111000
3100121021010011121102220
41131202323211033320
53121202133042130
6114050544124040
710154045126250
oct1354273451770
9317233147386
10100444034040
1139664047489
1217572606620
1396197caa8c
144c0c008960
15292d1ea410
hex1762ee53f8

100444034040 has 64 divisors (see below), whose sum is σ = 344379548160. Its totient is φ = 22958636160.

The previous prime is 100444034039. The next prime is 100444034057. The reversal of 100444034040 is 40430444001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100444034040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59787276 + ... + 59788955.

It is an arithmetic number, because the mean of its divisors is an integer number (5380930440).

Almost surely, 2100444034040 is an apocalyptic number.

100444034040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100444034040 is an abundant number, since it is smaller than the sum of its proper divisors (243935514120).

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

100444034040 is a wasteful number, since it uses less digits than its factorization.

100444034040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119576252 (or 119576248 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 100444034040 its reverse (40430444001), we get a palindrome (140874478041).

The spelling of 100444034040 in words is "one hundred billion, four hundred forty-four million, thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 119576231 239152462 358728693 478304924 597881155 717457386 837033617 956609848 1195762310 1434914772 1674067234 1793643465 2391524620 2511100851 2869829544 3348134468 3587286930 4185168085 4783049240 5022201702 6696268936 7174573860 8370336170 10044403404 12555504255 14349147720 16740672340 20088806808 25111008510 33481344680 50222017020 100444034040