Search a number
-
+
261440036464404 = 22372327330380263
BaseRepresentation
bin111011011100011101000000…
…100000001110011100010100
31021021200102102122200111021110
4323130131000200032130110
5233231413143313330104
62324011521131015020
7106032263552405310
oct7334350040163424
91237612378614243
10261440036464404
1176337107946a56
12253a49b729a470
13b2b58c7222c55
14487ba9dd06b40
1520359c6a8ce89
hexedc74080e714

261440036464404 has 144 divisors (see below), whose sum is σ = 728822249695232. Its totient is φ = 71447586065856.

The previous prime is 261440036464391. The next prime is 261440036464417. The reversal of 261440036464404 is 404464630044162.

It is an interprime number because it is at equal distance from previous prime (261440036464391) and next prime (261440036464417).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3257251977 + ... + 3257332239.

Almost surely, 2261440036464404 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 261440036464404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364411124847616).

261440036464404 is an abundant number, since it is smaller than the sum of its proper divisors (467382213230828).

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

261440036464404 is a wasteful number, since it uses less digits than its factorization.

261440036464404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153626 (or 153601 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 48.

The spelling of 261440036464404 in words is "two hundred sixty-one trillion, four hundred forty billion, thirty-six million, four hundred sixty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 529 644 966 1058 1587 1932 2116 3174 3703 6348 7406 11109 14812 22218 44436 73303 80263 146606 160526 219909 240789 293212 321052 439818 481578 513121 561841 879636 963156 1026242 1123682 1539363 1685523 1685969 1846049 2052484 2247364 3078726 3371046 3371938 3692098 5057907 5538147 6157452 6742092 6743876 7384196 10115814 11076294 11801783 12922343 20231628 22152588 23603566 25844686 35405349 38767029 38777287 42459127 47207132 51689372 70810698 77534058 77554574 84918254 116331861 127377381 141621396 155068116 155109148 169836508 232663722 254754762 271441009 297213889 465327444 509509524 542882018 594427778 814323027 891641667 1085764036 1188855556 1628646054 1783283334 3257292108 3566566668 5883518689 11767037378 17650556067 23534074756 35301112134 41184630823 70602224268 82369261646 123553892469 135320929847 164738523292 247107784938 270641859694 405962789541 494215569876 541283719388 811925579082 947246508929 1623851158164 1894493017858 2841739526787 3112381386481 3788986035716 5683479053574 6224762772962 9337144159443 11366958107148 12449525545924 18674288318886 21786669705367 37348576637772 43573339410734 65360009116101 87146678821468 130720018232202 261440036464404