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1402114112 = 26737251337
BaseRepresentation
bin101001110010010…
…1001000001000000
310121201022202222022
41103210221001000
510332420122422
6351044101012
746513526150
oct12344510100
93551282868
101402114112
1165a5030a3
12331694768
1319463bb29
14d4302760
1583161342
hex53929040

1402114112 has 112 divisors (see below), whose sum is σ = 3288475008. Its totient is φ = 580608000.

The previous prime is 1402114111. The next prime is 1402114123. The reversal of 1402114112 is 2114112041.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (1402114111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4160408 + ... + 4160744.

It is an arithmetic number, because the mean of its divisors is an integer number (29361384).

Almost surely, 21402114112 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 1402114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644237504).

1402114112 is an abundant number, since it is smaller than the sum of its proper divisors (1886360896).

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

1402114112 is a wasteful number, since it uses less digits than its factorization.

1402114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 1402114112 is about 37444.8142203964. The cubic root of 1402114112 is about 1119.2517621412.

Adding to 1402114112 its reverse (2114112041), we get a palindrome (3516226153).

The spelling of 1402114112 in words is "one billion, four hundred two million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 148 224 251 259 296 337 448 502 518 592 674 1004 1036 1184 1348 1757 2008 2072 2359 2368 2696 3514 4016 4144 4718 5392 7028 8032 8288 9287 9436 10784 12469 14056 16064 16576 18574 18872 21568 24938 28112 37148 37744 49876 56224 65009 74296 75488 84587 87283 99752 112448 130018 148592 150976 169174 174566 199504 260036 297184 338348 349132 399008 520072 592109 594368 676696 698264 798016 1040144 1184218 1353392 1396528 2080288 2368436 2706784 2793056 3129719 4160576 4736872 5413568 5586112 6259438 9473744 12518876 18947488 21908033 25037752 37894976 43816066 50075504 87632132 100151008 175264264 200302016 350528528 701057056 1402114112