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2130814944 = 253323107227
BaseRepresentation
bin111111100000001…
…1010011111100000
312111111111121121000
41333000122133200
513330442034234
6551234432000
7103542425316
oct17700323740
95444447530
102130814944
119a3875895
124b5732600
1327c5b9a5b
14162dcc0b6
15c7102899
hex7f01a7e0

2130814944 has 96 divisors (see below), whose sum is σ = 6485149440. Its totient is φ = 679383936.

The previous prime is 2130814883. The next prime is 2130814997. The reversal of 2130814944 is 4494180312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2130814899 and 2130814908.

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, 33742 + ... + 73485.

It is an arithmetic number, because the mean of its divisors is an integer number (67553640).

Almost surely, 22130814944 is an apocalyptic number.

2130814944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2130814944 is an abundant number, since it is smaller than the sum of its proper divisors (4354334496).

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

2130814944 is a wasteful number, since it uses less digits than its factorization.

2130814944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107269 (or 107255 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2130814944 is about 46160.7511204053. The cubic root of 2130814944 is about 1286.8124220620.

The spelling of 2130814944 in words is "two billion, one hundred thirty million, eight hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 9936 19872 107227 214454 321681 428908 643362 857816 965043 1286724 1715632 1930086 2466221 2573448 2895129 3431264 3860172 4932442 5146896 5790258 7398663 7720344 9864884 10293792 11580516 14797326 15440688 19729768 22195989 23161032 29594652 30881376 39459536 44391978 46322064 59189304 66587967 78919072 88783956 92644128 118378608 133175934 177567912 236757216 266351868 355135824 532703736 710271648 1065407472 2130814944