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531024555531140 = 225112590093718613
BaseRepresentation
bin111100010111101101100100…
…1111111111101101110000100
32120122012110012022021001112222
41320233123021333331232010
51024100301242203444030
65121221151341431512
7216565154343023006
oct17057331177755604
92518173168231488
10531024555531140
111442232818a7800
124b68414926b598
1319a3c5294c3a48
14951ba23178376
15415d279ab63e5
hex1e2f6c9ffdb84

531024555531140 has 72 divisors (see below), whose sum is σ = 1225766212214040. Its totient is φ = 193096514068480.

The previous prime is 531024555531109. The next prime is 531024555531241. The reversal of 531024555531140 is 41135555420135.

It can be written as a sum of positive squares in 4 ways, for example, as 46214000455744 + 484810555075396 = 6798088^2 + 22018414^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 531024555531091 and 531024555531100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140942474 + ... + 144661086.

It is an arithmetic number, because the mean of its divisors is an integer number (17024530725195).

Almost surely, 2531024555531140 is an apocalyptic number.

It is an amenable number.

531024555531140 is an abundant number, since it is smaller than the sum of its proper divisors (694741656682900).

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

531024555531140 is a wasteful number, since it uses less digits than its factorization.

531024555531140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777653 (or 3777640 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 44.

The spelling of 531024555531140 in words is "five hundred thirty-one trillion, twenty-four billion, five hundred fifty-five million, five hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 59009 118018 236036 295045 590090 649099 1180180 1298198 2596396 3245495 3718613 6490990 7140089 7437226 12981980 14280178 14874452 18593065 28560356 35700445 37186130 40904743 71400890 74372260 81809486 142801780 163618972 204523715 409047430 449952173 818094860 899904346 1799808692 2249760865 4499521730 8999043460 219431634517 438863269034 877726538068 1097158172585 2194316345170 2413747979687 4388632690340 4827495959374 9654991918748 12068739898435 24137479796870 26551227776557 48274959593740 53102455553114 106204911106228 132756138882785 265512277765570 531024555531140