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315152143443 = 381713121569
BaseRepresentation
bin1001001011000001000…
…10000001010001010011
31010010110111100200000000
410211200202001101103
520130412422042233
6400440124101043
731524523006554
oct4454042012123
91103414320000
10315152143443
111117231949a5
12510b3994783
1323946047367
141137964c32b
1582e7a27d13
hex4960881453

315152143443 has 72 divisors (see below), whose sum is σ = 504354399120. Its totient is φ = 196223938560.

The previous prime is 315152143399. The next prime is 315152143457. The reversal of 315152143443 is 344341251513.

315152143443 is a `hidden beast` number, since 3 + 1 + 51 + 521 + 43 + 4 + 43 = 666.

It is not a de Polignac number, because 315152143443 - 26 = 315152143379 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 315152143398 and 315152143407.

It is not an unprimeable number, because it can be changed into a prime (315152143643) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 14600563 + ... + 14622131.

It is an arithmetic number, because the mean of its divisors is an integer number (7004922210).

Almost surely, 2315152143443 is an apocalyptic number.

315152143443 is a deficient number, since it is larger than the sum of its proper divisors (189202255677).

315152143443 is an equidigital number, since it uses as much as digits as its factorization.

315152143443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21741 (or 21720 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 315152143443 its reverse (344341251513), we get a palindrome (659493394956).

The spelling of 315152143443 in words is "three hundred fifteen billion, one hundred fifty-two million, one hundred forty-three thousand, four hundred forty-three".

Divisors: 1 3 9 17 27 51 81 131 153 243 393 459 729 1179 1377 2187 2227 3537 4131 6561 6681 10611 12393 20043 21569 31833 37179 60129 64707 95499 111537 180387 194121 286497 366673 541161 582363 859491 1100019 1623483 1747089 2825539 3300057 4870449 5241267 8476617 9900171 14611347 15723801 25429851 29700513 47171403 48034163 76289553 89101539 141514209 144102489 228868659 267304617 432307467 686605977 801913851 1296922401 2059817931 2405741553 3890767203 6179453793 11672301609 18538361379 35016904827 105050714481 315152143443