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140968485190225 = 5272112308392
BaseRepresentation
bin100000000011010111001000…
…011110111111101001010001
3200111010110022002222202100101
4200003113020132333221101
5121434111424202041400
61215452010021452401
741456431322420200
oct4003271036775121
9614113262882311
10140968485190225
1140a0a442938100
1213988778571101
13608736a837cb4
1426b4ca804d237
151146da915656a
hex8035c87bfa51

140968485190225 has 81 divisors (see below), whose sum is σ = 223513030657371. Its totient is φ = 87873608776800.

The previous prime is 140968485190199. The next prime is 140968485190297. The reversal of 140968485190225 is 522091584869041.

The square root of 140968485190225 is 11873015.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 50748654668481 + 90219830521744 = 7123809^2 + 9498412^2 .

It is not a de Polignac number, because 140968485190225 - 27 = 140968485190097 is a prime.

It is a super-2 number, since 2×1409684851902252 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4571095356 + ... + 4571126194.

Almost surely, 2140968485190225 is an apocalyptic number.

140968485190225 is the 11873015-th square number.

140968485190225 is the 5936508-th centered octagonal number.

It is an amenable number.

140968485190225 is a deficient number, since it is larger than the sum of its proper divisors (82544545467146).

140968485190225 is an frugal number, since it uses more digits than its factorization.

140968485190225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61724 (or 30862 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 64.

The spelling of 140968485190225 in words is "one hundred forty trillion, nine hundred sixty-eight billion, four hundred eighty-five million, one hundred ninety thousand, two hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 175 245 275 385 539 605 847 1225 1925 2695 3025 4235 5929 13475 21175 29645 30839 148225 154195 215873 339229 770975 1079365 1511111 1696145 2374603 3731519 5396825 7555555 8480725 11873015 16622221 18657595 26120633 37777775 59365075 83111105 93287975 130603165 182844431 415555525 653015825 914222155 951043921 4571110775 4755219605 6657307447 10461483131 23776098025 33286537235 46601152129 52307415655 73230381917 115076314441 166432686175 233005760645 261537078275 366151909585 512612673419 575381572205 805534201087 1165028803225 1830759547925 2563063367095 2876907861025 4027671005435 5638739407609 12815316835475 20138355027175 28193697038045 140968485190225