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139007857280 = 2755331313093
BaseRepresentation
bin1000000101110110000…
…0111001001010000000
3111021210200210210210112
42001131200321022000
54234142002413110
6143505340450452
713020513201635
oct2013540711200
9437720723715
10139007857280
1153a53347686
1222b35549a28
13101541762b6
146a2996818c
153938a93405
hex205d839280

139007857280 has 128 divisors (see below), whose sum is σ = 339693451920. Its totient is φ = 54375579648.

The previous prime is 139007857249. The next prime is 139007857283. The reversal of 139007857280 is 82758700931.

It can be written as a sum of positive squares in 8 ways, for example, as 59181265984 + 79826591296 = 243272^2 + 282536^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (139007857283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10610414 + ... + 10623506.

Almost surely, 2139007857280 is an apocalyptic number.

139007857280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139007857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169846725960).

139007857280 is an abundant number, since it is smaller than the sum of its proper divisors (200685594640).

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

139007857280 is a wasteful number, since it uses less digits than its factorization.

139007857280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13478 (or 13466 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 50.

The spelling of 139007857280 in words is "one hundred thirty-nine billion, seven million, eight hundred fifty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 265 313 320 424 530 626 640 848 1060 1252 1565 1696 2120 2504 3130 3392 4240 5008 6260 6784 8480 10016 12520 13093 16589 16960 20032 25040 26186 33178 33920 40064 50080 52372 65465 66356 82945 100160 104744 130930 132712 165890 200320 209488 261860 265424 331780 418976 523720 530848 663560 693929 837952 1047440 1061696 1327120 1387858 1675904 2094880 2123392 2654240 2775716 3469645 4098109 4189760 5308480 5551432 6939290 8196218 8379520 10616960 11102864 13878580 16392436 20490545 22205728 27757160 32784872 40981090 44411456 55514320 65569744 81962180 88822912 111028640 131139488 163924360 217199777 222057280 262278976 327848720 434399554 444114560 524557952 655697440 868799108 1085998885 1311394880 1737598216 2171997770 2622789760 3475196432 4343995540 6950392864 8687991080 13900785728 17375982160 27801571456 34751964320 69503928640 139007857280