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71409814944 = 2531361938023
BaseRepresentation
bin100001010000001011…
…0110100110110100000
320211022200011110101220
41002200112310312200
52132221403034234
652445532055040
75105413261206
oct1024026646640
9224280143356
1071409814944
1128314a84996
1211a0b004480
136970551690
143655d61076
151cce293a49
hex10a05b4da0

71409814944 has 96 divisors (see below), whose sum is σ = 205179617664. Its totient is φ = 21612026880.

The previous prime is 71409814907. The next prime is 71409814951. The reversal of 71409814944 is 44941890417.

It is a tau number, because it is divible by the number of its divisors (96).

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, 392884 + ... + 545139.

It is an arithmetic number, because the mean of its divisors is an integer number (2137287684).

Almost surely, 271409814944 is an apocalyptic number.

It is an amenable number.

71409814944 is an abundant number, since it is smaller than the sum of its proper divisors (133769802720).

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

71409814944 is a wasteful number, since it uses less digits than its factorization.

71409814944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938110 (or 938102 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 71409814944 in words is "seventy-one billion, four hundred nine million, eight hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 78 96 104 122 156 183 208 244 312 366 416 488 624 732 793 976 1248 1464 1586 1952 2379 2928 3172 4758 5856 6344 9516 12688 19032 25376 38064 76128 938023 1876046 2814069 3752092 5628138 7504184 11256276 12194299 15008368 22512552 24388598 30016736 36582897 45025104 48777196 57219403 73165794 90050208 97554392 114438806 146331588 171658209 195108784 228877612 292663176 343316418 390217568 457755224 585326352 686632836 743852239 915510448 1170652704 1373265672 1487704478 1831020896 2231556717 2746531344 2975408956 4463113434 5493062688 5950817912 8926226868 11901635824 17852453736 23803271648 35704907472 71409814944