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140382687029832 = 233213149981503237
BaseRepresentation
bin11111111010110101100100…
…001100010110101001001000
3200102001110020211101220022200
4133322311210030112221020
5121400012220334423312
61214322525514120200
741366212565256312
oct3772654414265110
9612043224356280
10140382687029832
1140803a66071935
12138b3131a20060
1360440522690a0
1426947b5dc27b2
151136a20edb0dc
hex7fad64316a48

140382687029832 has 48 divisors (see below), whose sum is σ = 409449503839740. Its totient is φ = 43194672931968.

The previous prime is 140382687029801. The next prime is 140382687029839. The reversal of 140382687029832 is 238920786283041.

140382687029832 is a `hidden beast` number, since 1 + 40 + 382 + 68 + 70 + 2 + 98 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 135334459955556 + 5048227074276 = 11633334^2 + 2246826^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 140382687029832.

It is not an unprimeable number, because it can be changed into a prime (140382687029839) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74990750683 + ... + 74990752554.

Almost surely, 2140382687029832 is an apocalyptic number.

140382687029832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140382687029832 is an abundant number, since it is smaller than the sum of its proper divisors (269066816809908).

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

140382687029832 is a wasteful number, since it uses less digits than its factorization.

140382687029832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149981503262 (or 149981503255 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

It can be divided in two parts, 14038268 and 7029832, that added together give a square (21068100 = 45902).

The spelling of 140382687029832 in words is "one hundred forty trillion, three hundred eighty-two billion, six hundred eighty-seven million, twenty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 149981503237 299963006474 449944509711 599926012948 899889019422 1199852025896 1349833529133 1799778038844 1949759542081 2699667058266 3599556077688 3899519084162 5399334116532 5849278626243 7799038168324 10798668233064 11698557252486 15598076336648 17547835878729 23397114504972 35095671757458 46794229009944 70191343514916 140382687029832