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1401236640 = 25325973081
BaseRepresentation
bin101001110000101…
…0010110010100000
310121122200012022100
41103201102302200
510332204033030
6351013210400
746503213006
oct12341226240
93548605270
101401236640
11659a63911
12331330a00
131943c260b
14d4154a76
158303b360
hex53852ca0

1401236640 has 72 divisors (see below), whose sum is σ = 4781724948. Its totient is φ = 373662720.

The previous prime is 1401236597. The next prime is 1401236671. The reversal of 1401236640 is 466321041.

1401236640 is a `hidden beast` number, since 1 + 4 + 0 + 12 + 3 + 6 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1269354384 + 131882256 = 35628^2 + 11484^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 485101 + ... + 487980.

Almost surely, 21401236640 is an apocalyptic number.

1401236640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1401236640 is an abundant number, since it is smaller than the sum of its proper divisors (3380488308).

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

1401236640 is a wasteful number, since it uses less digits than its factorization.

1401236640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973102 (or 973091 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1401236640 is about 37433.0955172024. The cubic root of 1401236640 is about 1119.0182297868.

Adding to 1401236640 its reverse (466321041), we get a palindrome (1867557681).

The spelling of 1401236640 in words is "one billion, four hundred one million, two hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 973081 1946162 2919243 3892324 4865405 5838486 7784648 8757729 9730810 11676972 14596215 15569296 17515458 19461620 23353944 29192430 31138592 35030916 38923240 43788645 46707888 58384860 70061832 77846480 87577290 93415776 116769720 140123664 155692960 175154580 233539440 280247328 350309160 467078880 700618320 1401236640