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334103011000444 = 22777352332949797
BaseRepresentation
bin100101111110111010110101…
…1010010100000000001111100
31121210221221021021201001122001
41023331311223102200001330
5322242420431304003234
63142324445424432044
7130242101033221030
oct11375655322400174
91553857237631561
10334103011000444
1197501322731464
123157b49a478624
1311456a17bb579a
145c7095a0101c0
152895bbcd45d14
hex12fdd6b4a007c

334103011000444 has 48 divisors (see below), whose sum is σ = 669198536975808. Its totient is φ = 142974393873408.

The previous prime is 334103011000333. The next prime is 334103011000459. The reversal of 334103011000444 is 444000110301433.

It is a happy number.

It is a super-2 number, since 2×3341030110004442 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111788154 + ... + 114737950.

It is an arithmetic number, because the mean of its divisors is an integer number (13941636186996).

Almost surely, 2334103011000444 is an apocalyptic number.

It is an amenable number.

334103011000444 is an abundant number, since it is smaller than the sum of its proper divisors (335095525975364).

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

334103011000444 is a wasteful number, since it uses less digits than its factorization.

334103011000444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955814 (or 2955812 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 334103011000444 its reverse (444000110301433), we get a palindrome (778103121301877).

The spelling of 334103011000444 in words is "three hundred thirty-four trillion, one hundred three billion, eleven million, four hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 773 1546 3092 5233 5411 10466 10822 20932 21644 36631 73262 146524 2949797 4045109 5899594 8090218 11799188 16180436 20648579 28315763 41297158 56631526 82594316 113263052 2280193081 4560386162 9120772324 15436287701 15961351567 30872575402 31922703134 61745150804 63845406268 108054013907 216108027814 432216055628 11932250392873 23864500785746 47729001571492 83525752750111 167051505500222 334103011000444