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6243326131344 = 2431971809119183
BaseRepresentation
bin101101011011010001100…
…1111000111110010010000
3211002212010010120202022220
41122312203033013302100
51304242312442200334
621140051110301040
71213031304335001
oct132664317076220
924085103522286
106243326131344
111a97863924375
12849bb9357780
13363987862983
141782700db1a8
15ac60ae09449
hex5ada33c7c90

6243326131344 has 160 divisors (see below), whose sum is σ = 17238010982400. Its totient is φ = 1941388968960.

The previous prime is 6243326131213. The next prime is 6243326131349. The reversal of 6243326131344 is 4431316233426.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6243326131296 and 6243326131305.

It is not an unprimeable number, because it can be changed into a prime (6243326131349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52324777 + ... + 52443959.

It is an arithmetic number, because the mean of its divisors is an integer number (107737568640).

Almost surely, 26243326131344 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 6243326131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8619005491200).

6243326131344 is an abundant number, since it is smaller than the sum of its proper divisors (10994684851056).

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

6243326131344 is a wasteful number, since it uses less digits than its factorization.

6243326131344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120093 (or 120087 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The spelling of 6243326131344 in words is "six trillion, two hundred forty-three billion, three hundred twenty-six million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 71 76 114 142 152 213 228 284 304 426 456 568 809 852 912 1136 1349 1618 1704 2427 2698 3236 3408 4047 4854 5396 6472 8094 9708 10792 12944 15371 16188 19416 21584 30742 32376 38832 46113 57439 61484 64752 92226 114878 119183 122968 172317 184452 229756 238366 245936 344634 357549 368904 459512 476732 689268 715098 737808 919024 953464 1091341 1378536 1430196 1906928 2182682 2264477 2757072 2860392 3274023 4365364 4528954 5720784 6548046 6793431 8461993 8730728 9057908 13096092 13586862 16923986 17461456 18115816 25385979 26192184 27173724 33847972 36231632 50771958 52384368 54347448 67695944 96419047 101543916 108694896 135391888 160777867 192838094 203087832 289257141 321555734 385676188 406175664 482333601 578514282 643111468 771352376 964667202 1157028564 1286222936 1542704752 1831961893 1929334404 2314057128 2572445872 3663923786 3858668808 4628114256 5495885679 6845752337 7327847572 7717337616 10991771358 13691504674 14655695144 20537257011 21983542716 27383009348 29311390288 41074514022 43967085432 54766018696 82149028044 87934170864 109532037392 130069294403 164298056088 260138588806 328596112176 390207883209 520277177612 780415766418 1040554355224 1560831532836 2081108710448 3121663065672 6243326131344