Search a number
-
+
307668864453840 = 2434547479763033
BaseRepresentation
bin100010111110100101011110…
…1010111111100110011010000
31111100100212010011101100010000
41011331022331113330303100
5310311321313300010330
63010205043004210000
7121543225164003621
oct10575127527746320
91440325104340100
10307668864453840
118a03a6a608982a
122a610354239900
131028a08478a086
1455d9376bb5a48
15258828e983560
hex117d2bd5fccd0

307668864453840 has 100 divisors (see below), whose sum is σ = 1068579546843204. Its totient is φ = 82045030519296.

The previous prime is 307668864453833. The next prime is 307668864453857. The reversal of 307668864453840 is 48354468866703.

It is a happy number.

307668864453840 is a `hidden beast` number, since 3 + 0 + 7 + 6 + 6 + 8 + 8 + 6 + 44 + 538 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 146638246487184 + 161030617966656 = 12109428^2 + 12689784^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23739875037 + ... + 23739887996.

Almost surely, 2307668864453840 is an apocalyptic number.

307668864453840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

307668864453840 is an abundant number, since it is smaller than the sum of its proper divisors (760910682389364).

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

307668864453840 is a wasteful number, since it uses less digits than its factorization.

307668864453840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47479763058 (or 47479763043 counting only the distinct ones).

The product of its (nonzero) digits is 2229534720, while the sum is 72.

The spelling of 307668864453840 in words is "three hundred seven trillion, six hundred sixty-eight billion, eight hundred sixty-four million, four hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 47479763033 94959526066 142439289099 189919052132 237398815165 284878578198 379838104264 427317867297 474797630330 569757156396 712196445495 759676208528 854635734594 949595260660 1139514312792 1281953601891 1424392890990 1709271469188 1899190521320 2136589336485 2279028625584 2563907203782 2848785781980 3418542938376 3798381042640 3845860805673 4273178672970 5127814407564 5697571563960 6409768009455 6837085876752 7691721611346 8546357345940 10255628815128 11395143127920 12819536018910 15383443222692 17092714691880 19229304028365 20511257630256 25639072037820 30766886445384 34185429383760 38458608056730 51278144075640 61533772890768 76917216113460 102556288151280 153834432226920 307668864453840