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4012300032 = 28313795087
BaseRepresentation
bin1110111100100110…
…1101011100000000
3101100121211221220220
43233021231130000
531204122100112
61502045303040
7201266662506
oct35711553400
911317757826
104012300032
111779925444
1293b864a80
134bc33a140
142a0c36676
151873a498c
hexef26d700

4012300032 has 144 divisors (see below), whose sum is σ = 11647856640. Its totient is φ = 1218686976.

The previous prime is 4012300031. The next prime is 4012300063. The reversal of 4012300032 is 2300032104.

4012300032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4012299984 and 4012300020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012300031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786193 + ... + 791279.

Almost surely, 24012300032 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 4012300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823928320).

4012300032 is an abundant number, since it is smaller than the sum of its proper divisors (7635556608).

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

4012300032 is a wasteful number, since it uses less digits than its factorization.

4012300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5198 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4012300032 is about 63342.7188554454. The cubic root of 4012300032 is about 1589.0264773509.

Adding to 4012300032 its reverse (2300032104), we get a palindrome (6312332136).

The spelling of 4012300032 in words is "four billion, twelve million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 128 156 158 192 208 237 256 312 316 384 416 474 624 632 768 832 948 1027 1248 1264 1664 1896 2054 2496 2528 3081 3328 3792 4108 4992 5056 5087 6162 7584 8216 9984 10112 10174 12324 15168 15261 16432 20224 20348 24648 30336 30522 32864 40696 49296 60672 61044 65728 66131 81392 98592 122088 131456 132262 162784 197184 198393 244176 262912 264524 325568 394368 396786 401873 488352 529048 651136 788736 793572 803746 976704 1058096 1205619 1302272 1587144 1607492 1953408 2116192 2411238 3174288 3214984 3906816 4232384 4822476 5224349 6348576 6429968 8464768 9644952 10448698 12697152 12859936 15673047 16929536 19289904 20897396 25394304 25719872 31346094 38579808 41794792 50788608 51439744 62692188 77159616 83589584 102879488 125384376 154319232 167179168 250768752 308638464 334358336 501537504 668716672 1003075008 1337433344 2006150016 4012300032