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2144757408 = 25329770387
BaseRepresentation
bin111111111010110…
…0110011010100000
312112110201222001120
41333311212122200
513343024214113
6552453332240
7104102065023
oct17765463240
95473658046
102144757408
11a00728a92
124ba337080
1328245bc31
14164bbb1ba
15c8458a23
hex7fd666a0

2144757408 has 48 divisors (see below), whose sum is σ = 5824133280. Its totient is φ = 690265856.

The previous prime is 2144757403. The next prime is 2144757409. The reversal of 2144757408 is 8047574412.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2144757408.

It is not an unprimeable number, because it can be changed into a prime (2144757401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382410 + ... + 387977.

It is an arithmetic number, because the mean of its divisors is an integer number (121336110).

Almost surely, 22144757408 is an apocalyptic number.

It is an amenable number.

2144757408 is an abundant number, since it is smaller than the sum of its proper divisors (3679375872).

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

2144757408 is a wasteful number, since it uses less digits than its factorization.

2144757408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770429 (or 770421 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The square root of 2144757408 is about 46311.5256496695. The cubic root of 2144757408 is about 1289.6129696455.

The spelling of 2144757408 in words is "two billion, one hundred forty-four million, seven hundred fifty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 770387 1540774 2311161 3081548 4622322 6163096 9244644 12326192 18489288 22341223 24652384 36978576 44682446 67023669 73957152 89364892 134047338 178729784 268094676 357459568 536189352 714919136 1072378704 2144757408