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140400213507 = 32231036585067
BaseRepresentation
bin1000001011000010000…
…0010011111000000011
3111102101201202211110200
42002300200103320003
54300014423313012
6144255435500243
713100151060351
oct2026040237003
9442351684420
10140400213507
11545a8295504
12232638b7683
1310316779818
146b1c84a7d1
1539bae283dc
hex20b0813e03

140400213507 has 24 divisors (see below), whose sum is σ = 213672286464. Its totient is φ = 88661328624.

The previous prime is 140400213493. The next prime is 140400213509. The reversal of 140400213507 is 705312004041.

140400213507 is a `hidden beast` number, since 1 + 40 + 400 + 213 + 5 + 0 + 7 = 666.

It is not a de Polignac number, because 140400213507 - 27 = 140400213379 is a prime.

It is a super-2 number, since 2×1404002135072 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140400213509) 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 23 ways as a sum of consecutive naturals, for example, 3271213 + ... + 3313854.

It is an arithmetic number, because the mean of its divisors is an integer number (8903011936).

Almost surely, 2140400213507 is an apocalyptic number.

140400213507 is a deficient number, since it is larger than the sum of its proper divisors (73272072957).

140400213507 is a wasteful number, since it uses less digits than its factorization.

140400213507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6585199 (or 6585196 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 140400213507 its reverse (705312004041), we get a palindrome (845712217548).

The spelling of 140400213507 in words is "one hundred forty billion, four hundred million, two hundred thirteen thousand, five hundred seven".

Divisors: 1 3 9 23 69 103 207 309 927 2369 7107 21321 6585067 19755201 59265603 151456541 454369623 678261901 1363108869 2034785703 6104357109 15600023723 46800071169 140400213507