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4011014112 = 25373126211
BaseRepresentation
bin1110111100010011…
…0011011111100000
3101100112102121222020
43233010303133200
531203304422422
61502001541440
7201253025460
oct35704633740
911315377866
104011014112
1117791272a6
1293b344880
134bbca9a41
142a09bdba0
151871ed95c
hexef1337e0

4011014112 has 144 divisors (see below), whose sum is σ = 12435728256. Its totient is φ = 1108857600.

The previous prime is 4011014101. The next prime is 4011014113. The reversal of 4011014112 is 2114101104.

It is a junction number, because it is equal to n+sod(n) for n = 4011014091 and 4011014100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011014113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642687 + ... + 648897.

It is an arithmetic number, because the mean of its divisors is an integer number (86359224).

Almost surely, 24011014112 is an apocalyptic number.

4011014112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4011014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217864128).

4011014112 is an abundant number, since it is smaller than the sum of its proper divisors (8424714144).

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

4011014112 is a wasteful number, since it uses less digits than its factorization.

4011014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6293 (or 6254 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 4011014112 is about 63332.5675462475. The cubic root of 4011014112 is about 1588.8567011423.

Adding to 4011014112 its reverse (2114101104), we get a palindrome (6125115216).

The spelling of 4011014112 in words is "four billion, eleven million, fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 961 992 1302 1488 1736 1922 2604 2883 2976 3472 3844 5208 5766 6211 6727 6944 7688 10416 11532 12422 13454 15376 18633 20181 20832 23064 24844 26908 30752 37266 40362 43477 46128 49688 53816 74532 80724 86954 92256 99376 107632 130431 149064 161448 173908 192541 198752 215264 260862 298128 322896 347816 385082 521724 577623 596256 645792 695632 770164 1043448 1155246 1347787 1391264 1540328 2086896 2310492 2695574 3080656 4043361 4173792 4620984 5391148 5968771 6161312 8086722 9241968 10782296 11937542 16173444 17906313 18483936 21564592 23875084 32346888 35812626 41781397 43129184 47750168 64693776 71625252 83562794 95500336 125344191 129387552 143250504 167125588 191000672 250688382 286501008 334251176 501376764 573002016 668502352 1002753528 1337004704 2005507056 4011014112