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40652414535564 = 2232131716073317903
BaseRepresentation
bin10010011111001001000001…
…01110100100011110001100
312022221022222122222100112200
421033210200232210132030
520312022121110114224
6222243243400001500
711364016505100546
oct1117444056443614
9168838878870480
1040652414535564
1111a53657220a57
124686863460290
13198b67729c750
14a07831a14696
154a76e13c75c9
hex24f920ba478c

40652414535564 has 144 divisors (see below), whose sum is σ = 117182265363072. Its totient is φ = 11771875454976.

The previous prime is 40652414535559. The next prime is 40652414535613. The reversal of 40652414535564 is 46553541425604.

40652414535564 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 2 + 4 + 1 + 45 + 35 + 564 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40652414535564.

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, 127717837 + ... + 128035739.

It is an arithmetic number, because the mean of its divisors is an integer number (813765731688).

Almost surely, 240652414535564 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 40652414535564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58591132681536).

40652414535564 is an abundant number, since it is smaller than the sum of its proper divisors (76529850827508).

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

40652414535564 is a wasteful number, since it uses less digits than its factorization.

40652414535564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334016 (or 334011 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 54.

The spelling of 40652414535564 in words is "forty trillion, six hundred fifty-two billion, four hundred fourteen million, five hundred thirty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 16073 32146 48219 64292 96438 144657 192876 208949 273241 289314 317903 417898 546482 578628 626847 635806 819723 835796 953709 1092964 1253694 1271612 1639446 1880541 1907418 2459169 2507388 2861127 3278892 3552133 3761082 3814836 4132739 4918338 5404351 5722254 7104266 7522164 8265478 9836676 10656399 10808702 11444508 12398217 14208532 16213053 16530956 21312798 21617404 24796434 31969197 32426106 37194651 42625596 48639159 49592868 63938394 64852212 70256563 74389302 97278318 127876788 140513126 148778604 194556636 210769689 281026252 421539378 632309067 843078756 1264618134 2529236268 5109654919 10219309838 15328964757 20438619676 30657929514 45986894271 61315859028 66425513947 86864133623 91973788542 132851027894 173728267246 183947577084 199276541841 260592400869 265702055788 347456534492 398553083682 521184801738 597829625523 781777202607 797106167364 1042369603476 1129233737099 1195659251046 1563554405214 2258467474198 2391318502092 3127108810428 3387701211297 4516934948396 6775402422594 10163103633891 13550804845188 20326207267782 40652414535564