Search a number
-
+
31125139680 = 2535127510583
BaseRepresentation
bin11100111111001100…
…111111000011100000
32222100011102220212010
4130333030333003200
51002221013432210
622144303432520
72151211215315
oct347714770340
988304386763
1031125139680
111222236a138
1260478b5740
132c2050871b
141713a4cd0c
15c227c8920
hex73f33f0e0

31125139680 has 96 divisors (see below), whose sum is σ = 98816385024. Its totient is φ = 8234666496.

The previous prime is 31125139657. The next prime is 31125139697. The reversal of 31125139680 is 8693152113.

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

It is a zygodrome in base 2.

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, 194332 + ... + 316251.

It is an arithmetic number, because the mean of its divisors is an integer number (1029337344).

Almost surely, 231125139680 is an apocalyptic number.

31125139680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31125139680 is an abundant number, since it is smaller than the sum of its proper divisors (67691245344).

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

31125139680 is a wasteful number, since it uses less digits than its factorization.

31125139680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510728 (or 510720 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 31125139680 in words is "thirty-one billion, one hundred twenty-five million, one hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 127 160 240 254 381 480 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 4064 5080 6096 7620 10160 12192 15240 20320 30480 60960 510583 1021166 1531749 2042332 2552915 3063498 4084664 5105830 6126996 7658745 8169328 10211660 12253992 15317490 16338656 20423320 24507984 30634980 40846640 49015968 61269960 64844041 81693280 122539920 129688082 194532123 245079840 259376164 324220205 389064246 518752328 648440410 778128492 972660615 1037504656 1296880820 1556256984 1945321230 2075009312 2593761640 3112513968 3890642460 5187523280 6225027936 7781284920 10375046560 15562569840 31125139680