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1401412896 = 253213228793
BaseRepresentation
bin101001110000111…
…1101110100100000
310121200000011002100
41103201331310200
510332230203041
6351021050400
746504545612
oct12341756440
93550004070
101401412896
1165a074284
123313b6a00
13194454900
14d419cdb2
15830736b6
hex5387dd20

1401412896 has 108 divisors (see below), whose sum is σ = 4315558338. Its totient is φ = 431188992.

The previous prime is 1401412853. The next prime is 1401412897. The reversal of 1401412896 is 6982141041.

It can be written as a sum of positive squares in 3 ways, for example, as 539168400 + 862244496 = 23220^2 + 29364^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1401412896.

It is not an unprimeable number, because it can be changed into a prime (1401412897) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34276 + ... + 63068.

Almost surely, 21401412896 is an apocalyptic number.

1401412896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401412896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157779169).

1401412896 is an abundant number, since it is smaller than the sum of its proper divisors (2914145442).

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

1401412896 is a wasteful number, since it uses less digits than its factorization.

1401412896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28835 (or 28811 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1401412896 is about 37435.4497234907. The cubic root of 1401412896 is about 1119.0651467749.

The spelling of 1401412896 in words is "one billion, four hundred one million, four hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 624 676 936 1014 1248 1352 1521 1872 2028 2704 3042 3744 4056 5408 6084 8112 12168 16224 24336 28793 48672 57586 86379 115172 172758 230344 259137 345516 374309 460688 518274 691032 748618 921376 1036548 1122927 1382064 1497236 2073096 2245854 2764128 2994472 3368781 4146192 4491708 4866017 5988944 6737562 8292384 8983416 9732034 11977888 13475124 14598051 17966832 19464068 26950248 29196102 35933664 38928136 43794153 53900496 58392204 77856272 87588306 107800992 116784408 155712544 175176612 233568816 350353224 467137632 700706448 1401412896