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334056442453362 = 233179173573199109
BaseRepresentation
bin100101111110100101001001…
…1100101100101110101110010
31121210210111001211202202111000
41023331022103211211311302
5322241140043232001422
63142251224443102430
7130235532026132136
oct11375122345456562
91553714054682430
10334056442453362
11974935a5a27812
1231572462811a16
1311452506031c95
145c6c5bd3173c6
15289489486ccac
hex12fd293965d72

334056442453362 has 64 divisors (see below), whose sum is σ = 746502893424000. Its totient is φ = 110728874378304.

The previous prime is 334056442453319. The next prime is 334056442453469. The reversal of 334056442453362 is 263354244650433.

It is a happy number.

334056442453362 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 5 + 6 + 4 + 42 + 4 + 533 + 62 = 666.

It is a super-2 number, since 2×3340564424533622 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 334056442453299 and 334056442453308.

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, 1677657064 + ... + 1677856172.

It is an arithmetic number, because the mean of its divisors is an integer number (11664107709750).

Almost surely, 2334056442453362 is an apocalyptic number.

334056442453362 is an abundant number, since it is smaller than the sum of its proper divisors (412446450970638).

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

334056442453362 is a wasteful number, since it uses less digits than its factorization.

334056442453362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372872 (or 372866 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 54.

The spelling of 334056442453362 in words is "three hundred thirty-four trillion, fifty-six billion, four hundred forty-two million, four hundred fifty-three thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 179 358 537 1074 1611 3222 4833 9666 173573 199109 347146 398218 520719 597327 1041438 1194654 1562157 1791981 3124314 3583962 4686471 5375943 9372942 10751886 31069567 35640511 62139134 71281022 93208701 106921533 186417402 213843066 279626103 320764599 559252206 641529198 838878309 962293797 1677756618 1924587594 34559946457 69119892914 103679839371 207359678742 311039518113 622079036226 933118554339 1866237108678 6186230415803 12372460831606 18558691247409 37117382494818 55676073742227 111352147484454 167028221226681 334056442453362