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1402451424 = 253211479419
BaseRepresentation
bin101001110010111…
…1011010111100000
310121201221220200100
41103211323113200
510333011421144
6351055222400
746516432443
oct12345732740
93551856610
101402451424
1165a713570
12331817a00
1319472951a
14d438d65a
15831cb269
hex5397b5e0

1402451424 has 144 divisors (see below), whose sum is σ = 4443828480. Its totient is φ = 415898880.

The previous prime is 1402451383. The next prime is 1402451447. The reversal of 1402451424 is 4241542041.

1402451424 is a `hidden beast` number, since 140 + 2 + 4 + 514 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144187 + ... + 153605.

It is an arithmetic number, because the mean of its divisors is an integer number (30859920).

Almost surely, 21402451424 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 1402451424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221914240).

1402451424 is an abundant number, since it is smaller than the sum of its proper divisors (3041377056).

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

1402451424 is a wasteful number, since it uses less digits than its factorization.

1402451424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9493 (or 9482 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 1402451424 is about 37449.3180712279. The cubic root of 1402451424 is about 1119.3415091825.

Adding to 1402451424 its reverse (4241542041), we get a palindrome (5643993465).

The spelling of 1402451424 in words is "one billion, four hundred two million, four hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 47 48 66 72 88 94 96 99 132 141 144 176 188 198 264 282 288 352 376 396 423 517 528 564 752 792 846 1034 1056 1128 1504 1551 1584 1692 2068 2256 3102 3168 3384 4136 4512 4653 6204 6768 8272 9306 9419 12408 13536 16544 18612 18838 24816 28257 37224 37676 49632 56514 74448 75352 84771 103609 113028 148896 150704 169542 207218 226056 301408 310827 339084 414436 442693 452112 621654 678168 828872 885386 904224 932481 1243308 1328079 1356336 1657744 1770772 1864962 2486616 2656158 2712672 3315488 3541544 3729924 3984237 4869623 4973232 5312316 7083088 7459848 7968474 9739246 9946464 10624632 14166176 14608869 14919696 15936948 19478492 21249264 29217738 29839392 31873896 38956984 42498528 43826607 58435476 63747792 77913968 87653214 116870952 127495584 155827936 175306428 233741904 350612856 467483808 701225712 1402451424