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103410144432 = 24327163629383
BaseRepresentation
bin110000001001110111…
…0011001010010110000
3100212220211102121222100
41200103232121102300
53143240444110212
6115301142140400
710320412503360
oct1402356312260
9325824377870
10103410144432
113a946370091
121805ba21700
1399a0177a9a
14500dd0c9a0
152a537e7bdc
hex1813b994b0

103410144432 has 120 divisors (see below), whose sum is σ = 332777978624. Its totient is φ = 29364446592.

The previous prime is 103410144377. The next prime is 103410144457. The reversal of 103410144432 is 234441014301.

103410144432 is a `hidden beast` number, since 103 + 410 + 144 + 4 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 103410144396 and 103410144405.

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, 150388 + ... + 478995.

Almost surely, 2103410144432 is an apocalyptic number.

103410144432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103410144432 is an abundant number, since it is smaller than the sum of its proper divisors (229367834192).

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

103410144432 is a wasteful number, since it uses less digits than its factorization.

103410144432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629567 (or 629558 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 103410144432 its reverse (234441014301), we get a palindrome (337851158733).

The spelling of 103410144432 in words is "one hundred three billion, four hundred ten million, one hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 163 168 252 326 336 489 504 652 978 1008 1141 1304 1467 1956 2282 2608 2934 3423 3912 4564 5868 6846 7824 9128 10269 11736 13692 18256 20538 23472 27384 41076 54768 82152 164304 629383 1258766 1888149 2517532 3776298 4405681 5035064 5664447 7552596 8811362 10070128 11328894 13217043 15105192 17622724 22657788 26434086 30210384 35245448 39651129 45315576 52868172 70490896 79302258 90631152 102589429 105736344 158604516 205178858 211472688 307768287 317209032 410357716 615536574 634418064 718126003 820715432 923304861 1231073148 1436252006 1641430864 1846609722 2154378009 2462146296 2872504012 3693219444 4308756018 4924292592 5745008024 6463134027 7386438888 8617512036 11490016048 12926268054 14772877776 17235024072 25852536108 34470048144 51705072216 103410144432