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1411920048 = 2437113112323
BaseRepresentation
bin101010000101000…
…0011000010110000
310122101202222012010
41110022003002300
510342422420143
6352034202520
746663056660
oct12412030260
93571688163
101411920048
11664aa0480
12334a23440
13196693266
14d57361a0
1583e4ba33
hex542830b0

1411920048 has 160 divisors (see below), whose sum is σ = 4694556672. Its totient is φ = 354873600.

The previous prime is 1411920031. The next prime is 1411920061. The reversal of 1411920048 is 8400291141.

It is a junction number, because it is equal to n+sod(n) for n = 1411919997 and 1411920024.

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, 108415 + ... + 120737.

Almost surely, 21411920048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1411920048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347278336).

1411920048 is an abundant number, since it is smaller than the sum of its proper divisors (3282636624).

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

1411920048 is a wasteful number, since it uses less digits than its factorization.

1411920048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12383 (or 12377 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1411920048 is about 37575.5245871565. The cubic root of 1411920048 is about 1121.8549321374.

The spelling of 1411920048 in words is "one billion, four hundred eleven million, nine hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 31 33 42 44 48 56 62 66 77 84 88 93 112 124 132 154 168 176 186 217 231 248 264 308 336 341 372 434 462 496 528 616 651 682 744 868 924 1023 1232 1302 1364 1488 1736 1848 2046 2387 2604 2728 3472 3696 4092 4774 5208 5456 7161 8184 9548 10416 12323 14322 16368 19096 24646 28644 36969 38192 49292 57288 73938 86261 98584 114576 135553 147876 172522 197168 258783 271106 295752 345044 382013 406659 517566 542212 591504 690088 764026 813318 948871 1035132 1084424 1146039 1380176 1528052 1626636 1897742 2070264 2168848 2292078 2674091 2846613 3056104 3253272 3795484 4140528 4202143 4584156 5348182 5693226 6112208 6506544 7590968 8022273 8404286 9168312 10696364 11386452 12606429 15181936 16044546 16808572 18336624 21392728 22772904 25212858 29415001 32089092 33617144 42785456 45545808 50425716 58830002 64178184 67234288 88245003 100851432 117660004 128356368 176490006 201702864 235320008 352980012 470640016 705960024 1411920048