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1402168512 = 26341593019
BaseRepresentation
bin101001110010011…
…0110010011000000
310121201102112121010
41103210312103000
510332423343022
6351045200520
746514143563
oct12344662300
93551375533
101402168512
1165a53aa58
12331700140
1319465a814
14d43184da
158317250c
hex539364c0

1402168512 has 112 divisors (see below), whose sum is σ = 3866083200. Its totient is φ = 448112640.

The previous prime is 1402168511. The next prime is 1402168513. The reversal of 1402168512 is 2158612041.

It is an interprime number because it is at equal distance from previous prime (1402168511) and next prime (1402168513).

It is a self number, because there is not a number n which added to its sum of digits gives 1402168512.

It is not an unprimeable number, because it can be changed into a prime (1402168511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462939 + ... + 465957.

It is an arithmetic number, because the mean of its divisors is an integer number (34518600).

Almost surely, 21402168512 is an apocalyptic number.

1402168512 is a gapful number since it is divisible by the number (12) 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 1402168512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933041600).

1402168512 is an abundant number, since it is smaller than the sum of its proper divisors (2463914688).

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

1402168512 is a wasteful number, since it uses less digits than its factorization.

1402168512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1402168512 is about 37445.5406156728. The cubic root of 1402168512 is about 1119.2662370706.

The spelling of 1402168512 in words is "one billion, four hundred two million, one hundred sixty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 59 64 82 96 118 123 164 177 192 236 246 328 354 472 492 656 708 944 984 1312 1416 1888 1968 2419 2624 2832 3019 3776 3936 4838 5664 6038 7257 7872 9057 9676 11328 12076 14514 18114 19352 24152 29028 36228 38704 48304 58056 72456 77408 96608 116112 123779 144912 154816 178121 193216 232224 247558 289824 356242 371337 464448 495116 534363 579648 712484 742674 990232 1068726 1424968 1485348 1980464 2137452 2849936 2970696 3960928 4274904 5699872 5941392 7302961 7921856 8549808 11399744 11882784 14605922 17099616 21908883 23765568 29211844 34199232 43817766 58423688 87635532 116847376 175271064 233694752 350542128 467389504 701084256 1402168512