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2631220213140 = 22325106129137737
BaseRepresentation
bin100110010010100000111…
…100100011010110010100
3100022112122021001001120200
4212102200330203112110
5321102214333310030
65332433232500500
7361046042534451
oct46224074432624
910275567031520
102631220213140
1192499223a622
12365b463aa730
1316117a30757c
14914cd250828
154869db53d60
hex264a0f23594

2631220213140 has 72 divisors (see below), whose sum is σ = 7981501131240. Its totient is φ = 701647017984.

The previous prime is 2631220213117. The next prime is 2631220213187. The reversal of 2631220213140 is 413120221362.

2631220213140 is a `hidden beast` number, since 2 + 6 + 312 + 202 + 1 + 3 + 140 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101040065424 + 2530180147716 = 317868^2 + 1590654^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19034352 + ... + 19172088.

Almost surely, 22631220213140 is an apocalyptic number.

2631220213140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2631220213140 is an abundant number, since it is smaller than the sum of its proper divisors (5350280918100).

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

2631220213140 is a wasteful number, since it uses less digits than its factorization.

2631220213140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243881 (or 243876 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 2631220213140 in words is "two trillion, six hundred thirty-one billion, two hundred twenty million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 106129 137737 212258 275474 318387 413211 424516 530645 550948 636774 688685 826422 955161 1061290 1239633 1273548 1377370 1591935 1652844 1910322 2066055 2122580 2479266 2754740 3183870 3820644 4132110 4775805 4958532 6198165 6367740 8264220 9551610 12396330 19103220 24792660 14617890073 29235780146 43853670219 58471560292 73089450365 87707340438 131561010657 146178900730 175414680876 219268351095 263122021314 292357801460 438536702190 526244042628 657805053285 877073404380 1315610106570 2631220213140