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100504320144 = 24317239951341
BaseRepresentation
bin101110110011010000…
…1100011100010010000
3100121102022121110102120
41131212201203202100
53121313101221034
6114100540214240
710155406424424
oct1354641434220
9317368543376
10100504320144
1139695083308
121758a83a380
139629148027
144c1601cb84
152933657c49
hex1766863890

100504320144 has 80 divisors (see below), whose sum is σ = 275028825600. Its totient is φ = 31517009920.

The previous prime is 100504320113. The next prime is 100504320151. The reversal of 100504320144 is 441023405001.

It is a super-2 number, since 2×1005043201442 (a number of 23 digits) contains 22 as substring.

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

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, 1931914 + ... + 1983254.

It is an arithmetic number, because the mean of its divisors is an integer number (3437860320).

Almost surely, 2100504320144 is an apocalyptic number.

It is an amenable number.

100504320144 is an abundant number, since it is smaller than the sum of its proper divisors (174524505456).

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

100504320144 is a wasteful number, since it uses less digits than its factorization.

100504320144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53768 (or 53762 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 100504320144 its reverse (441023405001), we get a palindrome (541527725145).

The spelling of 100504320144 in words is "one hundred billion, five hundred four million, three hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 2399 4798 7197 9596 14394 19192 28788 38384 40783 51341 57576 81566 102682 115152 122349 154023 163132 205364 244698 308046 326264 410728 489396 616092 652528 821456 872797 978792 1232184 1745594 1957584 2464368 2618391 3491188 5236782 6982376 10473564 13964752 20947128 41894256 123167059 246334118 369501177 492668236 739002354 985336472 1478004708 1970672944 2093840003 2956009416 4187680006 5912018832 6281520009 8375360012 12563040018 16750720024 25126080036 33501440048 50252160072 100504320144