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34080081138 = 23237115344381
BaseRepresentation
bin11111101111010101…
…001100010011110010
310020222002200111111100
4133233111030103302
51024244000044023
623353422225230
72314351624065
oct375725142362
9106862614440
1034080081138
11134a9354414
126731425216
1332a1774aac
1419142868dc
15d46e1bc43
hex7ef54c4f2

34080081138 has 48 divisors (see below), whose sum is σ = 75903339096. Its totient is φ = 11043164160.

The previous prime is 34080081103. The next prime is 34080081149. The reversal of 34080081138 is 83118008043.

It can be written as a sum of positive squares in 4 ways, for example, as 33939587529 + 140493609 = 184227^2 + 11853^2 .

It is a super-2 number, since 2×340800811382 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 745708 + ... + 790088.

Almost surely, 234080081138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34080081138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37951669548).

34080081138 is an abundant number, since it is smaller than the sum of its proper divisors (41823257958).

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

34080081138 is a wasteful number, since it uses less digits than its factorization.

34080081138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45579 (or 45576 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 34080081138 in words is "thirty-four billion, eighty million, eighty-one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1153 2306 3459 6918 10377 20754 42661 44381 85322 88762 127983 133143 255966 266286 383949 399429 767898 798858 1642097 3284194 4926291 9852582 14778873 29557746 51171293 102342586 153513879 307027758 460541637 921083274 1893337841 3786675682 5680013523 11360027046 17040040569 34080081138