Search a number
-
+
531034515331242 = 231367521619315083
BaseRepresentation
bin111100010111110010001101…
…1101001100101100010101010
32120122020101220102101022210020
41320233210123221211202222
51024100432141411044432
65121225515530501310
7216565656221645046
oct17057443351454252
92518211812338706
10531034515331242
11144227522954a5a
124b686068894836
1319a40455a776a0
14951c2c9c35026
15415d65e18322c
hex1e2f91ba658aa

531034515331242 has 128 divisors (see below), whose sum is σ = 1164948528522240. Its totient is φ = 160387526407680.

The previous prime is 531034515331183. The next prime is 531034515331277. The reversal of 531034515331242 is 242133515430135.

It is a junction number, because it is equal to n+sod(n) for n = 531034515331194 and 531034515331203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1685222233 + ... + 1685537315.

It is an arithmetic number, because the mean of its divisors is an integer number (9101160379080).

Almost surely, 2531034515331242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531034515331242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582474264261120).

531034515331242 is an abundant number, since it is smaller than the sum of its proper divisors (633914013190998).

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

531034515331242 is a wasteful number, since it uses less digits than its factorization.

531034515331242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316308.

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 531034515331242 in words is "five hundred thirty-one trillion, thirty-four billion, five hundred fifteen million, three hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 39 67 78 134 201 402 521 619 871 1042 1238 1563 1742 1857 2613 3126 3714 5226 6773 8047 13546 16094 20319 24141 34907 40638 41473 48282 69814 82946 104721 124419 209442 248838 315083 322499 453791 539149 630166 644998 907582 945249 967497 1078298 1361373 1617447 1890498 1934994 2722746 3234894 4096079 4192487 8192158 8384974 12288237 12577461 21110561 21607433 24576474 25154922 42221122 43214866 63331683 64822299 126663366 129644598 164158243 195036377 274437293 280896629 328316486 390072754 492474729 548874586 561793258 585109131 823311879 842689887 984949458 1170218262 1646623758 1685379774 2134057159 2535472901 4268114318 5070945802 6402171477 7606418703 10998602281 12804342954 13067437259 15212837406 21997204562 26134874518 32995806843 39202311777 65991613686 78404623554 101613952417 142981829653 169876684367 203227904834 285963659306 304841857251 339753368734 428945488959 509630053101 609683714502 857890977918 1019260106202 1320981381421 2641962762842 3962944144263 6808134811939 7925888288526 13616269623878 20424404435817 40848808871634 88505752555207 177011505110414 265517257665621 531034515331242