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139872719520 = 25325195112307
BaseRepresentation
bin1000001001000100010…
…0000101001010100000
3111101000222012100202100
42002101010011022200
54242424404011040
6144131233450400
713051114333122
oct2022104051240
9441028170670
10139872719520
115435755a466
1223137110a00
13102613b92c1
146aac779212
15398997db30
hex20911052a0

139872719520 has 144 divisors (see below), whose sum is σ = 502437630240. Its totient is φ = 35336259072.

The previous prime is 139872719507. The next prime is 139872719537. The reversal of 139872719520 is 25917278931.

It is a happy number.

139872719520 is a `hidden beast` number, since 1 + 3 + 9 + 87 + 27 + 19 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 2528794 + ... + 2583513.

It is an arithmetic number, because the mean of its divisors is an integer number (3489150210).

Almost surely, 2139872719520 is an apocalyptic number.

139872719520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

139872719520 is an abundant number, since it is smaller than the sum of its proper divisors (362564910720).

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

139872719520 is a wasteful number, since it uses less digits than its factorization.

139872719520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112347 (or 5112336 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 139872719520 in words is "one hundred thirty-nine billion, eight hundred seventy-two million, seven hundred nineteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 5112307 10224614 15336921 20449228 25561535 30673842 40898456 46010763 51123070 61347684 76684605 81796912 92021526 97133833 102246140 122695368 153369210 163593824 184043052 194267666 204492280 230053815 245390736 291401499 306738420 368086104 388535332 408984560 460107630 485669165 490781472 582802998 613476840 736172208 777070664 817969120 874204497 920215260 971338330 1165605996 1226953680 1457007495 1472344416 1554141328 1748408994 1840430520 1942676660 2331211992 2453907360 2914014990 3108282656 3496817988 3680861040 3885353320 4371022485 4662423984 5828029980 6993635976 7361722080 7770706640 8742044970 9324847968 11656059960 13987271952 15541413280 17484089940 23312119920 27974543904 34968179880 46624239840 69936359760 139872719520