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2141955744 = 253118718797
BaseRepresentation
bin111111110101011…
…1010011010100000
312112021110121220020
41333222322122200
513341320040434
6552313313440
7104036215635
oct17752723240
95467417806
102141955744
119aa095065
124b9405880
132819ba946
1416468c18c
15c80a3849
hex7faba6a0

2141955744 has 48 divisors (see below), whose sum is σ = 5627670048. Its totient is φ = 713345792.

The previous prime is 2141955737. The next prime is 2141955773. The reversal of 2141955744 is 4475591412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2141955696 and 2141955705.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104554 + ... + 123350.

It is an arithmetic number, because the mean of its divisors is an integer number (117243126).

Almost surely, 22141955744 is an apocalyptic number.

2141955744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2141955744 is an abundant number, since it is smaller than the sum of its proper divisors (3485714304).

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

2141955744 is a wasteful number, since it uses less digits than its factorization.

2141955744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19997 (or 19989 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 2141955744 is about 46281.2677440884. The cubic root of 2141955744 is about 1289.0511910204.

The spelling of 2141955744 in words is "two billion, one hundred forty-one million, nine hundred fifty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1187 2374 3561 4748 7122 9496 14244 18797 18992 28488 37594 37984 56391 56976 75188 112782 113952 150376 225564 300752 451128 601504 902256 1804512 22312039 44624078 66936117 89248156 133872234 178496312 267744468 356992624 535488936 713985248 1070977872 2141955744