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2313243364104 = 233345750346589
BaseRepresentation
bin100001101010011000000…
…011001000101100001000
322012010212220111110222000
4201222120003020230020
5300400010300122404
64530404521231000
7326061220111401
oct41523003105410
98163786443860
102313243364104
1181204a6335a2
123143a4632460
1313a1a3cc2aaa
147dd667ca9a8
154028d161339
hex21a980c8b08

2313243364104 has 128 divisors (see below), whose sum is σ = 6452677728000. Its totient is φ = 767847762432.

The previous prime is 2313243364067. The next prime is 2313243364129. The reversal of 2313243364104 is 4014633423132.

It is a happy number.

2313243364104 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 2 + 4 + 3 + 3 + 641 + 0 + 4 = 666.

It is a super-2 number, since 2×23132433641042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49628842 + ... + 49675430.

It is an arithmetic number, because the mean of its divisors is an integer number (50411544750).

Almost surely, 22313243364104 is an apocalyptic number.

2313243364104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313243364104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226338864000).

2313243364104 is an abundant number, since it is smaller than the sum of its proper divisors (4139434363896).

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

2313243364104 is a wasteful number, since it uses less digits than its factorization.

2313243364104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47564 (or 47554 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 2313243364104 its reverse (4014633423132), we get a palindrome (6327876787236).

The spelling of 2313243364104 in words is "two trillion, three hundred thirteen billion, two hundred forty-three million, three hundred sixty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 457 503 914 1006 1371 1509 1828 2012 2742 3018 3656 4024 4113 4527 5484 6036 8226 9054 10968 12072 12339 13581 16452 18108 24678 27162 32904 36216 46589 49356 54324 93178 98712 108648 139767 186356 229871 279534 372712 419301 459742 559068 689613 838602 919484 1118136 1257903 1379226 1677204 1838968 2068839 2515806 2758452 3354408 4137678 5031612 5516904 6206517 8275356 10063224 12413034 16550712 21291173 23434267 24826068 42582346 46868534 49652136 63873519 70302801 85164692 93737068 127747038 140605602 170329384 187474136 191620557 210908403 255494076 281211204 383241114 421816806 510988152 562422408 574861671 632725209 766482228 843633612 1149723342 1265450418 1532964456 1687267224 2299446684 2530900836 4598893368 5061801672 10709460019 21418920038 32128380057 42837840076 64256760114 85675680152 96385140171 128513520228 192770280342 257027040456 289155420513 385540560684 578310841026 771081121368 1156621682052 2313243364104