Search a number
-
+
531142150473 = 3311101167229463
BaseRepresentation
bin1111011101010101000…
…10100000100101001001
31212202222012122212112000
413232222202200211021
532200234342303343
61044000415341213
753242124534064
oct7565242404511
91782865585460
10531142150473
1119528a996040
1286b32521809
133b11803114c
141b9c921d8db
15dc39b6bed3
hex7baa8a0949

531142150473 has 128 divisors (see below), whose sum is σ = 877801881600. Its totient is φ = 314743968000.

The previous prime is 531142150463. The next prime is 531142150531. The reversal of 531142150473 is 374051241135.

531142150473 is a `hidden beast` number, since 5 + 3 + 1 + 142 + 1 + 504 + 7 + 3 = 666.

It is not a de Polignac number, because 531142150473 - 24 = 531142150457 is a prime.

It is a super-2 number, since 2×5311421504732 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (531142150423) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1147175040 + ... + 1147175502.

It is an arithmetic number, because the mean of its divisors is an integer number (6857827200).

Almost surely, 2531142150473 is an apocalyptic number.

It is an amenable number.

531142150473 is a deficient number, since it is larger than the sum of its proper divisors (346659731127).

531142150473 is a wasteful number, since it uses less digits than its factorization.

531142150473 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 974 counting only the distinct ones).

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

The spelling of 531142150473 in words is "five hundred thirty-one billion, one hundred forty-two million, one hundred fifty thousand, four hundred seventy-three".

Divisors: 1 3 9 11 27 33 99 101 167 229 297 303 463 501 687 909 1111 1389 1503 1837 2061 2519 2727 3333 4167 4509 5093 5511 6183 7557 9999 12501 15279 16533 16867 22671 23129 29997 38243 45837 46763 49599 50601 68013 69387 77321 106027 114729 137511 140289 151803 185537 208161 231963 254419 318081 344187 420673 420867 455409 514393 556611 624483 695889 763257 850531 954243 1032561 1166297 1262019 1262601 1543179 1669833 2087667 2289771 2551593 2862729 3498891 3786057 3862543 4629537 5009499 6869313 7654779 7809421 10496673 10708727 11358171 11587629 13888611 17706509 22964337 23428263 31490019 32126181 34762887 42487973 53119527 70284789 85903631 96378543 104288661 117795997 127463919 159358581 194771599 210854367 257710893 289135629 353387991 382391757 478075743 584314797 773132679 1060163973 1147175271 1752944391 1788357409 2319398037 3180491919 5258833173 5365072227 16095216681 19671931499 48285650043 59015794497 177047383491 531142150473