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421331414413410 = 232540911446112861
BaseRepresentation
bin101111111001100101101110…
…1010010011111000001100010
32001020210220000200211121211200
41133303023131102133001202
5420211043214042212120
64052032551340422030
7154514122136521014
oct13763133522370142
92036726020747750
10421331414413410
11112281716392656
123b308a26247916
13151134c7048107
1476087992801b4
1533a9be4ca3e90
hex17f32dd49f062

421331414413410 has 48 divisors (see below), whose sum is σ = 1098140067980280. Its totient is φ = 112080337125120.

The previous prime is 421331414413397. The next prime is 421331414413411. The reversal of 421331414413410 is 14314414133124.

421331414413410 is a `hidden beast` number, since 4 + 2 + 1 + 33 + 141 + 441 + 3 + 41 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 307942587213849 + 113388827199561 = 17548293^2 + 10648419^2 .

It is not an unprimeable number, because it can be changed into a prime (421331414413411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5723019621 + ... + 5723093240.

Almost surely, 2421331414413410 is an apocalyptic number.

421331414413410 is an abundant number, since it is smaller than the sum of its proper divisors (676808653566870).

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

421331414413410 is a wasteful number, since it uses less digits than its factorization.

421331414413410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11446113283 (or 11446113280 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 421331414413410 its reverse (14314414133124), we get a palindrome (435645828546534).

The spelling of 421331414413410 in words is "four hundred twenty-one trillion, three hundred thirty-one billion, four hundred fourteen million, four hundred thirteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 409 818 1227 2045 2454 3681 4090 6135 7362 12270 18405 36810 11446112861 22892225722 34338338583 57230564305 68676677166 103015015749 114461128610 171691692915 206030031498 343383385830 515075078745 1030150157490 4681460160149 9362920320298 14044380480447 23407300800745 28088760960894 42133141441341 46814601601490 70221902402235 84266282882682 140443804804470 210665707206705 421331414413410