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531250130340 = 2232583223159457
BaseRepresentation
bin1111011101100001111…
…10011010110110100100
31212210020201211211001100
413232300332122312210
532201000013132330
61044015234000100
753244605413146
oct7566076326644
91783221754040
10531250130340
111953359379a6
1286b62716030
133b134509b67
141b9d96cac96
15dc4439b060
hex7bb0f9ada4

531250130340 has 144 divisors (see below), whose sum is σ = 1638197503488. Its totient is φ = 139331377152.

The previous prime is 531250130329. The next prime is 531250130351. The reversal of 531250130340 is 43031052135.

531250130340 is a `hidden beast` number, since 5 + 312 + 5 + 0 + 1 + 3 + 0 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (531250130329) and next prime (531250130351).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3251892 + ... + 3411348.

It is an arithmetic number, because the mean of its divisors is an integer number (11376371552).

Almost surely, 2531250130340 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 531250130340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819098751744).

531250130340 is an abundant number, since it is smaller than the sum of its proper divisors (1106947373148).

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

531250130340 is a wasteful number, since it uses less digits than its factorization.

531250130340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159778 (or 159773 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 531250130340 its reverse (43031052135), we get a palindrome (574281182475).

The spelling of 531250130340 in words is "five hundred thirty-one billion, two hundred fifty million, one hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 223 249 332 415 446 498 669 747 830 892 996 1115 1245 1338 1494 1660 2007 2230 2490 2676 2988 3345 3735 4014 4460 4980 6690 7470 8028 10035 13380 14940 18509 20070 37018 40140 55527 74036 92545 111054 159457 166581 185090 222108 277635 318914 333162 370180 478371 555270 637828 666324 797285 832905 956742 1110540 1435113 1594570 1665810 1913484 2391855 2870226 3189140 3331620 4783710 5740452 7175565 9567420 13234931 14351130 26469862 28702260 35558911 39704793 52939724 66174655 71117822 79409586 106676733 119114379 132349310 142235644 158819172 177794555 198523965 213353466 238228758 264698620 320030199 355589110 397047930 426706932 476457516 533383665 595571895 640060398 711178220 794095860 1066767330 1191143790 1280120796 1600150995 2133534660 2382287580 2951389613 3200301990 5902779226 6400603980 8854168839 11805558452 14756948065 17708337678 26562506517 29513896130 35416675356 44270844195 53125013034 59027792260 88541688390 106250026068 132812532585 177083376780 265625065170 531250130340