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7145431056 = 2432314734057
BaseRepresentation
bin1101010011110011…
…01010000000010000
3200102222101111200200
412221321222000100
5104113212243211
63141011215200
7342033106341
oct65171520020
920388344620
107145431056
113037456125
121474ba7500
1389b49531a
144badb60c8
152bc494b56
hex1a9e6a010

7145431056 has 120 divisors (see below), whose sum is σ = 21082174464. Its totient is φ = 2255869440.

The previous prime is 7145431049. The next prime is 7145431063. The reversal of 7145431056 is 6501345417.

7145431056 is a `hidden beast` number, since 7 + 1 + 4 + 543 + 105 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (7145431049) and next prime (7145431063).

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

It is a self number, because there is not a number n which added to its sum of digits gives 7145431056.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 192780 + ... + 226836.

Almost surely, 27145431056 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 7145431056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10541087232).

7145431056 is an abundant number, since it is smaller than the sum of its proper divisors (13936743408).

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

7145431056 is a wasteful number, since it uses less digits than its factorization.

7145431056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34149 (or 34140 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 7145431056 is about 84530.6515768097. The cubic root of 7145431056 is about 1926.0880838847.

The spelling of 7145431056 in words is "seven billion, one hundred forty-five million, four hundred thirty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 47 48 62 72 93 94 124 141 144 186 188 248 279 282 372 376 423 496 558 564 744 752 846 1116 1128 1457 1488 1692 2232 2256 2914 3384 4371 4464 5828 6768 8742 11656 13113 17484 23312 26226 34057 34968 52452 68114 69936 102171 104904 136228 204342 209808 272456 306513 408684 544912 613026 817368 1055767 1226052 1600679 1634736 2111534 2452104 3167301 3201358 4223068 4802037 4904208 6334602 6402716 8446136 9501903 9604074 12669204 12805432 14406111 16892272 19003806 19208148 25338408 25610864 28812222 38007612 38416296 49621049 50676816 57624444 76015224 76832592 99242098 115248888 148863147 152030448 198484196 230497776 297726294 396968392 446589441 595452588 793936784 893178882 1190905176 1786357764 2381810352 3572715528 7145431056