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34124140404 = 2234105321421
BaseRepresentation
bin11111110001111101…
…010000111101110100
310021002011120221110000
4133301331100331310
51024341234443104
623402034431300
72315425256544
oct376175207564
9107064527400
1034124140404
1113521207832
126744132530
1332aa930173
14191a075324
15d4ac21639
hex7f1f50f74

34124140404 has 30 divisors (see below), whose sum is σ = 89207244434. Its totient is φ = 11374713360.

The previous prime is 34124140381. The next prime is 34124140451. The reversal of 34124140404 is 40404142143.

34124140404 is a `hidden beast` number, since 341 + 241 + 40 + 40 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33742016100 + 382124304 = 183690^2 + 19548^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 52660387 + ... + 52661034.

Almost surely, 234124140404 is an apocalyptic number.

It is an amenable number.

34124140404 is an abundant number, since it is smaller than the sum of its proper divisors (55083104030).

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

34124140404 is a wasteful number, since it uses less digits than its factorization.

34124140404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105321437 (or 105321426 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 34124140404 its reverse (40404142143), we get a palindrome (74528282547).

The spelling of 34124140404 in words is "thirty-four billion, one hundred twenty-four million, one hundred forty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 105321421 210642842 315964263 421285684 631928526 947892789 1263857052 1895785578 2843678367 3791571156 5687356734 8531035101 11374713468 17062070202 34124140404