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34138040004678 = 2319943168419697
BaseRepresentation
bin1111100001100011000011…
…01111110111000001000110
311110212120020201000021001010
413300301201233313001012
513433304201220122203
6200334444333343050
710122251312154501
oct760614157670106
9143776221007033
1034138040004678
11a971952673315
1239b4220637a86
131608284a1b30c
1486040b8b4138
153e301e896303
hex1f0c61bf7046

34138040004678 has 64 divisors (see below), whose sum is σ = 68795532748800. Its totient is φ = 11293078579200.

The previous prime is 34138040004671. The next prime is 34138040004689. The reversal of 34138040004678 is 87640004083143.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34138040004671) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3520469526 + ... + 3520479222.

It is an arithmetic number, because the mean of its divisors is an integer number (1074930199200).

Almost surely, 234138040004678 is an apocalyptic number.

34138040004678 is an abundant number, since it is smaller than the sum of its proper divisors (34657492744122).

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

34138040004678 is a wasteful number, since it uses less digits than its factorization.

34138040004678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17173.

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 34138040004678 in words is "thirty-four trillion, one hundred thirty-eight billion, forty million, four thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 199 398 431 597 862 1194 1293 2586 6841 9697 13682 19394 20523 29091 41046 58182 85769 171538 257307 514614 1361359 1929703 2722718 2948471 3859406 4084077 4179407 5789109 5896942 8168154 8358814 8845413 11578218 12538221 17690826 25076442 66337177 132674354 199011531 398023062 586745729 831701993 1173491458 1663403986 1760237187 2495105979 3520474374 4990211958 13201098223 26402196446 28591323287 39603294669 57182646574 79206589338 85773969861 171547939722 5689673334113 11379346668226 17069020002339 34138040004678