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4123641390 = 2351131213003
BaseRepresentation
bin1111010111001001…
…1100011000101110
3101122101100200112220
43311302130120232
531421123011030
61521103540210
7204121242051
oct36562343056
911571320486
104123641390
1118267628a0
12970bba666
13509421bbb
142b193aa98
15192049a10
hexf5c9c62e

4123641390 has 96 divisors (see below), whose sum is σ = 11156807808. Its totient is φ = 967348800.

The previous prime is 4123641371. The next prime is 4123641407. The reversal of 4123641390 is 931463214.

It is a super-2 number, since 2×41236413902 = 34008836626642264200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310629 + ... + 323631.

It is an arithmetic number, because the mean of its divisors is an integer number (116216748).

Almost surely, 24123641390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123641390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578403904).

4123641390 is an abundant number, since it is smaller than the sum of its proper divisors (7033166418).

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

4123641390 is a wasteful number, since it uses less digits than its factorization.

4123641390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13086 (or 13055 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 4123641390 is about 64215.5852577861. The cubic root of 4123641390 is about 1603.5910734128.

The spelling of 4123641390 in words is "four billion, one hundred twenty-three million, six hundred forty-one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 961 1023 1705 1922 2046 2883 3410 4805 5115 5766 9610 10230 10571 13003 14415 21142 26006 28830 31713 39009 52855 63426 65015 78018 105710 130030 143033 158565 195045 286066 317130 390090 403093 429099 715165 806186 858198 1209279 1430330 2015465 2145495 2418558 4030930 4290990 4434023 6046395 8868046 12092790 12495883 13302069 22170115 24991766 26604138 37487649 44340230 62479415 66510345 74975298 124958830 133020690 137454713 187438245 274909426 374876490 412364139 687273565 824728278 1374547130 2061820695 4123641390