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2113440024 = 233434015107
BaseRepresentation
bin111110111111000…
…1000100100011000
312110021210212200110
41331332020210120
513312020040044
6545414204320
7103241641503
oct17576104430
95407725613
102113440024
11994a88853
124ab9536a0
13278b15437
1416098813a
15c581e6b9
hex7df88918

2113440024 has 64 divisors (see below), whose sum is σ = 5421018240. Its totient is φ = 686246400.

The previous prime is 2113440011. The next prime is 2113440041. The reversal of 2113440024 is 4200443112.

2113440024 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411279 + ... + 416385.

It is an arithmetic number, because the mean of its divisors is an integer number (84703410).

Almost surely, 22113440024 is an apocalyptic number.

2113440024 is a gapful number since it is divisible by the number (24) 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 2113440024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710509120).

2113440024 is an abundant number, since it is smaller than the sum of its proper divisors (3307578216).

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

2113440024 is a wasteful number, since it uses less digits than its factorization.

2113440024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5560 (or 5556 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2113440024 is about 45972.1657527683. The cubic root of 2113440024 is about 1283.3052646397.

Adding to 2113440024 its reverse (4200443112), we get a palindrome (6313883136).

The spelling of 2113440024 in words is "two billion, one hundred thirteen million, four hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 401 516 802 1032 1203 1604 2406 3208 4812 5107 9624 10214 15321 17243 20428 30642 34486 40856 51729 61284 68972 103458 122568 137944 206916 219601 413832 439202 658803 878404 1317606 1756808 2047907 2635212 4095814 5270424 6143721 8191628 12287442 16383256 24574884 49149768 88060001 176120002 264180003 352240004 528360006 704480008 1056720012 2113440024