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45714014352 = 2432953333301
BaseRepresentation
bin101010100100110001…
…001000000010010000
311100222212222112121200
4222210301020002100
51222110241424402
633000053551200
73205556465526
oct524461100220
9140885875550
1045714014352
1118429407656
128a39645500
134406b19346
1422d9414316
1512c847d21c
hexaa4c48090

45714014352 has 60 divisors (see below), whose sum is σ = 127953011004. Its totient is φ = 15235948800.

The previous prime is 45714014351. The next prime is 45714014417. The reversal of 45714014352 is 25341041754.

45714014352 is a `hidden beast` number, since 4 + 571 + 40 + 1 + 43 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18560247696 + 27153766656 = 136236^2 + 164784^2 .

It is a super-2 number, since 2×457140143522 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45714014351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1356102 + ... + 1389402.

Almost surely, 245714014352 is an apocalyptic number.

It is an amenable number.

45714014352 is an abundant number, since it is smaller than the sum of its proper divisors (82238996652).

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

45714014352 is a wasteful number, since it uses less digits than its factorization.

45714014352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42848 (or 42839 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 45714014352 in words is "forty-five billion, seven hundred fourteen million, fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9533 19066 28599 33301 38132 57198 66602 76264 85797 99903 114396 133204 152528 171594 199806 228792 266408 299709 343188 399612 457584 532816 599418 686376 799224 1198836 1372752 1598448 2397672 4795344 317458433 634916866 952375299 1269833732 1904750598 2539667464 2857125897 3809501196 5079334928 5714251794 7619002392 11428503588 15238004784 22857007176 45714014352