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414021043332 = 2233131915520357
BaseRepresentation
bin1100000011001011001…
…00111100010010000100
31110120122211122011121000
412001211210330102010
523240403341341312
6514110523453300
741624553542241
oct6014544742204
91416584564530
10414021043332
1114a6490a3816
12682a6987230
13300714074a0
14160783965c8
15ab827d6adc
hex606593c484

414021043332 has 96 divisors (see below), whose sum is σ = 1216796067200. Its totient is φ = 120686288256.

The previous prime is 414021043297. The next prime is 414021043369. The reversal of 414021043332 is 233340120414.

414021043332 is a `hidden beast` number, since 4 + 14 + 0 + 210 + 433 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 414021043296 and 414021043305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7733503 + ... + 7786854.

Almost surely, 2414021043332 is an apocalyptic number.

It is an amenable number.

414021043332 is an abundant number, since it is smaller than the sum of its proper divisors (802775023868).

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

414021043332 is a wasteful number, since it uses less digits than its factorization.

414021043332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15520402 (or 15520394 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 414021043332 its reverse (233340120414), we get a palindrome (647361163746).

The spelling of 414021043332 in words is "four hundred fourteen billion, twenty-one million, forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 468 494 513 684 702 741 988 1026 1404 1482 2052 2223 2964 4446 6669 8892 13338 26676 15520357 31040714 46561071 62081428 93122142 139683213 186244284 201764641 279366426 294886783 403529282 419049639 558732852 589773566 605293923 807058564 838099278 884660349 1179547132 1210587846 1676198556 1769320698 1815881769 2421175692 2653981047 3538641396 3631763538 3833528179 5307962094 5447645307 7263527076 7667056358 7961943141 10615924188 10895290614 11500584537 15334112716 15923886282 21790581228 23001169074 31847772564 34501753611 46002338148 69003507222 103505260833 138007014444 207010521666 414021043332