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139399912288 = 2571327874679
BaseRepresentation
bin1000000111010011100…
…0011101101101100000
3111022211000112021011101
42001310320131231200
54240442334143123
6144012303524144
713033313463310
oct2016470355540
9438730467141
10139399912288
115413468638a
12230248b9654
13101b7465500
146a65a61440
15395d1d7aad
hex2074e1db60

139399912288 has 144 divisors (see below), whose sum is σ = 340136858880. Its totient is φ = 55065374208.

The previous prime is 139399912279. The next prime is 139399912373. The reversal of 139399912288 is 882219993931.

It is a super-3 number, since 3×1393999122883 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29790333 + ... + 29795011.

It is an arithmetic number, because the mean of its divisors is an integer number (2362061520).

Almost surely, 2139399912288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139399912288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170068429440).

139399912288 is an abundant number, since it is smaller than the sum of its proper divisors (200736946592).

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

139399912288 is a wasteful number, since it uses less digits than its factorization.

139399912288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5509 (or 5488 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 64.

The spelling of 139399912288 in words is "one hundred thirty-nine billion, three hundred ninety-nine million, nine hundred twelve thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 208 224 338 364 416 676 728 787 1183 1352 1456 1574 2366 2704 2912 3148 4679 4732 5408 5509 6296 9358 9464 10231 11018 12592 18716 18928 20462 22036 25184 32753 37432 37856 40924 44072 60827 65506 71617 74864 81848 88144 121654 131012 133003 143234 149728 163696 176288 243308 262024 266006 286468 327392 425789 486616 524048 532012 572936 790751 851578 931021 973232 1048096 1064024 1145872 1581502 1703156 1862042 1946464 2128048 2291744 3163004 3406312 3682373 3724084 4256096 5535257 6326008 6812624 7364746 7448168 11070514 12652016 13625248 14729492 14896336 22141028 25304032 25776611 29458984 29792672 44282056 47870849 51553222 58917968 88564112 95741698 103106444 117835936 177128224 191483396 206212888 335095943 382966792 412425776 622321037 670191886 765933584 824851552 1244642074 1340383772 1531867168 2489284148 2680767544 4356247259 4978568296 5361535088 8712494518 9957136592 10723070176 17424989036 19914273184 34849978072 69699956144 139399912288