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4011345432 = 2332172263733
BaseRepresentation
bin1110111100011000…
…0100011000011000
3101100120001110110100
43233012010120120
531203401023212
61502013015400
7201255605433
oct35706043030
911316043410
104011345432
111779333216
1293b484560
134bc0947a3
142a0a6881a
15187266bdc
hexef184618

4011345432 has 144 divisors (see below), whose sum is σ = 11600400240. Its totient is φ = 1251965952.

The previous prime is 4011345431. The next prime is 4011345473. The reversal of 4011345432 is 2345431104.

It is a happy number.

4011345432 is a `hidden beast` number, since 4 + 0 + 113 + 4 + 543 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4011345396 and 4011345405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011345431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5472138 + ... + 5472870.

It is an arithmetic number, because the mean of its divisors is an integer number (80558335).

Almost surely, 24011345432 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 4011345432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800200120).

4011345432 is an abundant number, since it is smaller than the sum of its proper divisors (7589054808).

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

4011345432 is a wasteful number, since it uses less digits than its factorization.

4011345432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4011345432 is about 63335.1832080716. The cubic root of 4011345432 is about 1588.9004478103.

Adding to 4011345432 its reverse (2345431104), we get a palindrome (6356776536).

The spelling of 4011345432 in words is "four billion, eleven million, three hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 263 289 306 408 526 578 612 733 789 867 1052 1156 1224 1466 1578 1734 2104 2199 2312 2367 2601 2932 3156 3468 4398 4471 4734 5202 5864 6312 6597 6936 8796 8942 9468 10404 12461 13194 13413 17592 17884 18936 20808 24922 26388 26826 35768 37383 40239 49844 52776 53652 74766 76007 80478 99688 107304 112149 149532 152014 160956 192779 211837 224298 228021 299064 304028 321912 385558 423674 448596 456042 578337 608056 635511 684063 771116 847348 897192 912084 1156674 1271022 1368126 1542232 1694696 1735011 1824168 1906533 2313348 2542044 2736252 3277243 3470022 3813066 4626696 5084088 5472504 6554486 6940044 7626132 9831729 13108972 13880088 15252264 19663458 26217944 29495187 39326916 55713131 58990374 78653832 111426262 117980748 167139393 222852524 235961496 334278786 445705048 501418179 668557572 1002836358 1337115144 2005672716 4011345432