Search a number
-
+
213561605140440 = 23357324379178669
BaseRepresentation
bin110000100011101110101111…
…100111001010111111011000
31001000011021211110021200120120
4300203232233213022333120
5210442443131403443230
62034112502541153240
762661213443113164
oct6043565747127730
91030137743250516
10213561605140440
1162057a71620347
121bb5180555b820
139221a0823798b
143aa4618993ca4
1519a5362974310
hexc23baf9cafd8

213561605140440 has 64 divisors (see below), whose sum is σ = 649461319768800. Its totient is φ = 56169627651072.

The previous prime is 213561605140439. The next prime is 213561605140453. The reversal of 213561605140440 is 44041506165312.

It is a super-2 number, since 2×2135616051404402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213561605140392 and 213561605140401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12189580575 + ... + 12189598094.

Almost surely, 2213561605140440 is an apocalyptic number.

213561605140440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213561605140440 is an abundant number, since it is smaller than the sum of its proper divisors (435899714628360).

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

213561605140440 is a wasteful number, since it uses less digits than its factorization.

213561605140440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24379178756 (or 24379178752 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 213561605140440 in words is "two hundred thirteen trillion, five hundred sixty-one billion, six hundred five million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 24379178669 48758357338 73137536007 97516714676 121895893345 146275072014 195033429352 243791786690 292550144028 365687680035 487583573380 585100288056 731375360070 975167146760 1462750720140 1779680042837 2925501440280 3559360085674 5339040128511 7118720171348 8898400214185 10678080257022 14237440342696 17796800428370 21356160514044 26695200642555 35593600856740 42712321028088 53390401285110 71187201713480 106780802570220 213561605140440