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1456128342 = 23231284179
BaseRepresentation
bin101011011001010…
…1100000101010110
310202110221222120100
41112302230011112
510440232101332
6400253514530
751040613064
oct12662540526
93673858510
101456128342
11687a45859
123477a2a46
131a28a1406
14db563034
1587c8067c
hex56cac156

1456128342 has 36 divisors (see below), whose sum is σ = 3260038860. Its totient is φ = 469713240.

The previous prime is 1456128341. The next prime is 1456128343. The reversal of 1456128342 is 2438216541.

It is a happy number.

1456128342 is a `hidden beast` number, since 1 + 4 + 5 + 612 + 8 + 34 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1456128341) and next prime (1456128343).

It is a junction number, because it is equal to n+sod(n) for n = 1456128297 and 1456128306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456128341) 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, 24792 + ... + 59387.

It is an arithmetic number, because the mean of its divisors is an integer number (90556635).

Almost surely, 21456128342 is an apocalyptic number.

1456128342 is an abundant number, since it is smaller than the sum of its proper divisors (1803910518).

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

1456128342 is a wasteful number, since it uses less digits than its factorization.

1456128342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84249 (or 84215 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1456128342 is about 38159.2497567759. The cubic root of 1456128342 is about 1133.4435228696.

It can be divided in two parts, 145 and 6128342, that added together give a cube (6128487 = 1833).

The spelling of 1456128342 in words is "one billion, four hundred fifty-six million, one hundred twenty-eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 961 1922 2883 5766 8649 17298 84179 168358 252537 505074 757611 1515222 2609549 5219098 7828647 15657294 23485941 46971882 80896019 161792038 242688057 485376114 728064171 1456128342