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4042110912 = 263722713249
BaseRepresentation
bin1111000011101101…
…1011011111000000
3101102200221111202120
43300323123133000
531234240022122
61505032244240
7202111242630
oct36073333700
911380844676
104042110912
111794736834
12949840680
134c5577008
142a4b966c0
15189ce275c
hexf0edb7c0

4042110912 has 112 divisors (see below), whose sum is σ = 12277344000. Its totient is φ = 1149714432.

The previous prime is 4042110907. The next prime is 4042110913. The reversal of 4042110912 is 2190112404.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042110913) 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, 298464 + ... + 311712.

Almost surely, 24042110912 is an apocalyptic number.

4042110912 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 4042110912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138672000).

4042110912 is an abundant number, since it is smaller than the sum of its proper divisors (8235233088).

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

4042110912 is a wasteful number, since it uses less digits than its factorization.

4042110912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13498 (or 13488 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 4042110912 is about 63577.5975639218. The cubic root of 4042110912 is about 1592.9521925054.

The spelling of 4042110912 in words is "four billion, forty-two million, one hundred ten thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 227 336 448 454 672 681 908 1344 1362 1589 1816 2724 3178 3632 4767 5448 6356 7264 9534 10896 12712 13249 14528 19068 21792 25424 26498 38136 39747 43584 50848 52996 76272 79494 92743 101696 105992 152544 158988 185486 211984 278229 305088 317976 370972 423968 556458 635952 741944 847936 1112916 1271904 1483888 2225832 2543808 2967776 3007523 4451664 5935552 6015046 8903328 9022569 12030092 17806656 18045138 21052661 24060184 36090276 42105322 48120368 63157983 72180552 84210644 96240736 126315966 144361104 168421288 192481472 252631932 288722208 336842576 505263864 577444416 673685152 1010527728 1347370304 2021055456 4042110912