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140020556928 = 2737487106963
BaseRepresentation
bin1000001001100111100…
…0000010010010000000
3111101102021101021112220
42002121320002102000
54243230230310203
6144154034251040
713054561045020
oct2023170022200
9441367337486
10140020556928
1154422a5493a
1223178726a80
1310285c0ba65
146ac425da80
153997932653
hex2099e02480

140020556928 has 128 divisors (see below), whose sum is σ = 425939205120. Its totient is φ = 39923352576.

The previous prime is 140020556891. The next prime is 140020556939. The reversal of 140020556928 is 829655020041.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 140020556928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1255575 + ... + 1362537.

It is an arithmetic number, because the mean of its divisors is an integer number (3327650040).

Almost surely, 2140020556928 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 140020556928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212969602560).

140020556928 is an abundant number, since it is smaller than the sum of its proper divisors (285918648192).

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

140020556928 is a wasteful number, since it uses less digits than its factorization.

140020556928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107474 (or 107462 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

Adding to 140020556928 its reverse (829655020041), we get a palindrome (969675576969).

The spelling of 140020556928 in words is "one hundred forty billion, twenty million, five hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 487 672 896 974 1344 1461 1948 2688 2922 3409 3896 5844 6818 7792 10227 11688 13636 15584 20454 23376 27272 31168 40908 46752 54544 62336 81816 93504 106963 109088 163632 187008 213926 218176 320889 327264 427852 436352 641778 654528 748741 855704 1283556 1309056 1497482 1711408 2246223 2567112 2994964 3422816 4492446 5134224 5989928 6845632 8984892 10268448 11979856 13691264 17969784 20536896 23959712 35939568 41073792 47919424 52090981 71879136 95838848 104181962 143758272 156272943 208363924 287516544 312545886 364636867 416727848 625091772 729273734 833455696 1093910601 1250183544 1458547468 1666911392 2187821202 2500367088 2917094936 3333822784 4375642404 5000734176 5834189872 6667645568 8751284808 10001468352 11668379744 17502569616 20002936704 23336759488 35005139232 46673518976 70010278464 140020556928