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315372145428 = 22328998430757
BaseRepresentation
bin1001001011011011010…
…01010000101100010100
31010011000211022220222200
410211231221100230110
520131340232123203
6400514023324500
731533134002014
oct4455551205424
91104024286880
10315372145428
1111182639971a
12511555b0730
132397c7b5952
141139a959c44
15830bed39a3
hex496da50b14

315372145428 has 36 divisors (see below), whose sum is σ = 806147908020. Its totient is φ = 103942878336.

The previous prime is 315372145421. The next prime is 315372145471. The reversal of 315372145428 is 824541273513.

315372145428 is a `hidden beast` number, since 3 + 1 + 5 + 3 + 7 + 214 + 5 + 428 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41464362384 + 273907783044 = 203628^2 + 523362^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3153721454282 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315372145421) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 49212175 + ... + 49218582.

It is an arithmetic number, because the mean of its divisors is an integer number (22392997445).

Almost surely, 2315372145428 is an apocalyptic number.

It is an amenable number.

315372145428 is an abundant number, since it is smaller than the sum of its proper divisors (490775762592).

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

315372145428 is a wasteful number, since it uses less digits than its factorization.

315372145428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98430856 (or 98430851 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 315372145428 in words is "three hundred fifteen billion, three hundred seventy-two million, one hundred forty-five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 98430757 196861514 295292271 393723028 590584542 885876813 1181169084 1771753626 3543507252 8760337373 17520674746 26281012119 35041349492 52562024238 78843036357 105124048476 157686072714 315372145428