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4111114320 = 2432515833607
BaseRepresentation
bin1111010100001010…
…1010000001010000
3101121111210020122100
43311002222001100
531404421124240
61515535240400
7203606616015
oct36502520120
911544706570
104111114320
11181a687045
12968979100
13506957031
142addd970c
15190dc2e30
hexf50aa050

4111114320 has 120 divisors (see below), whose sum is σ = 13819044096. Its totient is φ = 1095300864.

The previous prime is 4111114309. The next prime is 4111114367. The reversal of 4111114320 is 234111114.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 4111114293 and 4111114302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1137957 + ... + 1141563.

Almost surely, 24111114320 is an apocalyptic number.

4111114320 is a gapful number since it is divisible by the number (40) 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 4111114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909522048).

4111114320 is an abundant number, since it is smaller than the sum of its proper divisors (9707929776).

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

4111114320 is a wasteful number, since it uses less digits than its factorization.

4111114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5209 (or 5200 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 4111114320 is about 64117.9718955614. The cubic root of 4111114320 is about 1601.9655947013.

Adding to 4111114320 its reverse (234111114), we get a palindrome (4345225434).

The spelling of 4111114320 in words is "four billion, one hundred eleven million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1583 3166 3607 4749 6332 7214 7915 9498 10821 12664 14247 14428 15830 18035 18996 21642 23745 25328 28494 28856 31660 32463 36070 37992 43284 47490 54105 56988 57712 63320 64926 71235 72140 75984 86568 94980 108210 113976 126640 129852 142470 144280 162315 173136 189960 216420 227952 259704 284940 288560 324630 379920 432840 519408 569880 649260 865680 1139760 1298520 2597040 5709881 11419762 17129643 22839524 28549405 34259286 45679048 51388929 57098810 68518572 85648215 91358096 102777858 114197620 137037144 171296430 205555716 228395240 256944645 274074288 342592860 411111432 456790480 513889290 685185720 822222864 1027778580 1370371440 2055557160 4111114320