Search a number
-
+
2134332340344 = 233250358933409
BaseRepresentation
bin11111000011110000000…
…111101111100001111000
321120001002021211210021200
4133003300013233201320
5234432103034342334
64312255421134200
7310125513362211
oct37036007574170
97501067753250
102134332340344
1175318aa67386
122a57936ba360
13126360b6c6a9
14754334a0408
153a7bb362799
hex1f0f01ef878

2134332340344 has 48 divisors (see below), whose sum is σ = 5791975534800. Its totient is φ = 710029699584.

The previous prime is 2134332340313. The next prime is 2134332340363. The reversal of 2134332340344 is 4430432334312.

2134332340344 is a `hidden beast` number, since 21 + 34 + 33 + 234 + 0 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2134332340299 and 2134332340308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29430489 + ... + 29502920.

It is an arithmetic number, because the mean of its divisors is an integer number (120666156975).

Almost surely, 22134332340344 is an apocalyptic number.

2134332340344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2134332340344 is an abundant number, since it is smaller than the sum of its proper divisors (3657643194456).

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

2134332340344 is a wasteful number, since it uses less digits than its factorization.

2134332340344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58933924 (or 58933917 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 2134332340344 its reverse (4430432334312), we get a palindrome (6564764674656).

The spelling of 2134332340344 in words is "two trillion, one hundred thirty-four billion, three hundred thirty-two million, three hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 503 1006 1509 2012 3018 4024 4527 6036 9054 12072 18108 36216 58933409 117866818 176800227 235733636 353600454 471467272 530400681 707200908 1060801362 1414401816 2121602724 4243205448 29643504727 59287009454 88930514181 118574018908 177861028362 237148037816 266791542543 355722056724 533583085086 711444113448 1067166170172 2134332340344