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4407042136 = 2374371149173
BaseRepresentation
bin1000001101010111…
…00010000001011000
3102101010121221021211
410012223202001120
533011200322021
62005150112504
7214132145230
oct40653420130
912333557254
104407042136
111961729a92
12a2baab734
1355305a453
142db42ccc0
151abd7a3e1
hex106ae2058

4407042136 has 128 divisors (see below), whose sum is σ = 9922176000. Its totient is φ = 1796175360.

The previous prime is 4407042131. The next prime is 4407042137. The reversal of 4407042136 is 6312407044.

It is a junction number, because it is equal to n+sod(n) for n = 4407042098 and 4407042107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4407042131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25474146 + ... + 25474318.

It is an arithmetic number, because the mean of its divisors is an integer number (77517000).

Almost surely, 24407042136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4407042136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4961088000).

4407042136 is an abundant number, since it is smaller than the sum of its proper divisors (5515133864).

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

4407042136 is a wasteful number, since it uses less digits than its factorization.

4407042136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 4407042136 is about 66385.5566821579. The cubic root of 4407042136 is about 1639.5162830807.

The spelling of 4407042136 in words is "four billion, four hundred seven million, forty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 43 56 71 86 142 149 172 173 284 298 301 344 346 497 568 596 602 692 994 1043 1192 1204 1211 1384 1988 2086 2408 2422 3053 3976 4172 4844 6106 6407 7439 8344 9688 10579 12212 12283 12814 14878 21158 21371 24424 24566 25628 25777 29756 42316 42742 44849 49132 51256 51554 52073 59512 74053 84632 85484 85981 89698 98264 103108 104146 148106 170968 171962 179396 180439 206216 208292 296212 343924 358792 360878 416584 454897 528169 592424 687848 721756 909794 1056338 1108411 1443512 1819588 1830167 2112676 2216822 3184279 3639176 3660334 3697183 4225352 4433644 6368558 7320668 7394366 7758877 8867288 12737116 12811169 14641336 14788732 15517754 25474232 25622338 29577464 31035508 51244676 62071016 78697181 102489352 157394362 314788724 550880267 629577448 1101760534 2203521068 4407042136