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315152143530 = 235723577113083
BaseRepresentation
bin1001001011000001000…
…10000001010010101010
31010010110111100200010020
410211200202001102222
520130412422043110
6400440124101310
731524523010040
oct4454042012252
91103414320106
10315152143530
11111723194a74
12510b3994836
1323946047403
141137964c390
1582e7a27d70
hex49608814aa

315152143530 has 128 divisors (see below), whose sum is σ = 903571918848. Its totient is φ = 68782804992.

The previous prime is 315152143529. The next prime is 315152143567. The reversal of 315152143530 is 35341251513.

It is a junction number, because it is equal to n+sod(n) for n = 315152143491 and 315152143500.

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 63 ways as a sum of consecutive naturals, for example, 2730369 + ... + 2843451.

It is an arithmetic number, because the mean of its divisors is an integer number (7059155616).

Almost surely, 2315152143530 is an apocalyptic number.

315152143530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315152143530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451785959424).

315152143530 is an abundant number, since it is smaller than the sum of its proper divisors (588419775318).

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

315152143530 is a wasteful number, since it uses less digits than its factorization.

315152143530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113700.

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 315152143530 in words is "three hundred fifteen billion, one hundred fifty-two million, one hundred forty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 577 690 805 966 1154 1610 1731 2415 2885 3462 4039 4830 5770 8078 8655 12117 13271 17310 20195 24234 26542 39813 40390 60585 66355 79626 92897 113083 121170 132710 185794 199065 226166 278691 339249 398130 464485 557382 565415 678498 791581 928970 1130830 1393455 1583162 1696245 2374743 2600909 2786910 3392490 3957905 4749486 5201818 7802727 7915810 11873715 13004545 15605454 18206363 23747430 26009090 36412726 39013635 54619089 65248891 78027270 91031815 109238178 130497782 182063630 195746673 273095445 326244455 391493346 456742237 546190890 652488910 913484474 978733365 1370226711 1500724493 1957466730 2283711185 2740453422 3001448986 4502173479 4567422370 6851133555 7503622465 9004346958 10505071451 13702267110 15007244930 21010142902 22510867395 31515214353 45021734790 52525357255 63030428706 105050714510 157576071765 315152143530