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334021125420045 = 33571073303378583
BaseRepresentation
bin100101111110010100101101…
…0100001110011010000001101
31121210200002220112112120121000
41023330221122201303100031
5322240100231101420140
63142223104152330513
7130233141604244340
oct11374513241632015
91553602815476530
10334021125420045
119747a622428978
12315676470a3a39
131144c09822852b
145c6a9cca82457
1528939c9066a30
hex12fca5a87340d

334021125420045 has 64 divisors (see below), whose sum is σ = 684988583178240. Its totient is φ = 151268312026944.

The previous prime is 334021125420043. The next prime is 334021125420071. The reversal of 334021125420045 is 540024521120433.

It is a happy number.

334021125420045 is a `hidden beast` number, since 3 + 3 + 40 + 21 + 12 + 542 + 0 + 0 + 45 = 666.

It is not a de Polignac number, because 334021125420045 - 21 = 334021125420043 is a prime.

It is a super-2 number, since 2×3340211254200452 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334021125419991 and 334021125420009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334021125420043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1651588177 + ... + 1651790406.

It is an arithmetic number, because the mean of its divisors is an integer number (10702946612160).

Almost surely, 2334021125420045 is an apocalyptic number.

334021125420045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

334021125420045 is an abundant number, since it is smaller than the sum of its proper divisors (350967457758195).

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

334021125420045 is a wasteful number, since it uses less digits than its factorization.

334021125420045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303378711 (or 3303378705 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 334021125420045 its reverse (540024521120433), we get a palindrome (874045646540478).

The spelling of 334021125420045 in words is "three hundred thirty-four trillion, twenty-one billion, one hundred twenty-five million, four hundred twenty thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 107 135 189 315 321 535 749 945 963 1605 2247 2889 3745 4815 6741 11235 14445 20223 33705 101115 3303378583 9910135749 16516892915 23123650081 29730407247 49550678745 69370950243 89191221741 115618250405 148652036235 208112850729 346854751215 353461508381 445956108705 624338552187 1040564253645 1060384525143 1767307541905 2474230558667 3121692760935 3181153575429 5301922625715 7422691676001 9543460726287 12371152793335 15905767877145 22268075028003 37113458380005 47717303631435 66804225084009 111340375140015 334021125420045