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34404107334102 = 232111631066000723
BaseRepresentation
bin1111101001010010101001…
…00110001011000111010110
311111211000000101122000120100
413310221110212023013112
514002134102434142402
6201101010111514530
710150420565146332
oct764512446130726
9144730011560510
1034404107334102
11aa64777749a10
123a378b5b28a46
1316273a77a850c
1486d24c1827c2
153e9de305571c
hex1f4a5498b1d6

34404107334102 has 48 divisors (see below), whose sum is σ = 81817687568448. Its totient is φ = 10361527017840.

The previous prime is 34404107333993. The next prime is 34404107334131. The reversal of 34404107334102 is 20143370140443.

34404107334102 is a `hidden beast` number, since 3 + 4 + 40 + 410 + 73 + 34 + 102 = 666.

It is a super-2 number, since 2×344041073341022 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 532968088 + ... + 533032635.

It is an arithmetic number, because the mean of its divisors is an integer number (1704535157676).

Almost surely, 234404107334102 is an apocalyptic number.

34404107334102 is an abundant number, since it is smaller than the sum of its proper divisors (47413580234346).

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

34404107334102 is a wasteful number, since it uses less digits than its factorization.

34404107334102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066000905 (or 1066000902 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 34404107334102 its reverse (20143370140443), we get a palindrome (54547477474545).

The spelling of 34404107334102 in words is "thirty-four trillion, four hundred four billion, one hundred seven million, three hundred thirty-four thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 163 198 326 489 978 1467 1793 2934 3586 5379 10758 16137 32274 1066000723 2132001446 3198002169 6396004338 9594006507 11726007953 19188013014 23452015906 35178023859 70356047718 105534071577 173758117849 211068143154 347516235698 521274353547 1042548707094 1563823060641 1911339296339 3127646121282 3822678592678 5734017889017 11468035778034 17202053667051 34404107334102