Search a number
-
+
214482379392 = 2732316005891
BaseRepresentation
bin1100011111000000100…
…1010110001010000000
3202111121122102210012100
43013300021112022000
512003224442120032
6242310513430400
721332034100311
oct3076011261200
9674548383170
10214482379392
1182a63791196
123569986b400
13172c1853a38
14a549684608
1558a4ade97c
hex31f0256280

214482379392 has 96 divisors (see below), whose sum is σ = 637105023360. Its totient is φ = 69187852800.

The previous prime is 214482379369. The next prime is 214482379403. The reversal of 214482379392 is 293973284412.

It is a happy number.

214482379392 is a `hidden beast` number, since 2 + 1 + 4 + 482 + 3 + 79 + 3 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2967234 + ... + 3038657.

It is an arithmetic number, because the mean of its divisors is an integer number (6636510660).

Almost surely, 2214482379392 is an apocalyptic number.

It is an amenable number.

214482379392 is an abundant number, since it is smaller than the sum of its proper divisors (422622643968).

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

214482379392 is a wasteful number, since it uses less digits than its factorization.

214482379392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6005942 (or 6005927 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 214482379392 in words is "two hundred fourteen billion, four hundred eighty-two million, three hundred seventy-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1984 2232 2976 3968 4464 5952 8928 11904 17856 35712 6005891 12011782 18017673 24023564 36035346 48047128 54053019 72070692 96094256 108106038 144141384 186182621 192188512 216212076 288282768 372365242 384377024 432424152 558547863 576565536 744730484 768754048 864848304 1117095726 1153131072 1489460968 1675643589 1729696608 2234191452 2306262144 2978921936 3351287178 3459393216 4468382904 5957843872 6702574356 6918786432 8936765808 11915687744 13405148712 17873531616 23831375488 26810297424 35747063232 53620594848 71494126464 107241189696 214482379392