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1401291144 = 2333113671607
BaseRepresentation
bin101001110000110…
…0000000110001000
310121122202222002000
41103201200012020
510332212304034
6351014311000
746503530631
oct12341400610
93548688060
101401291144
11659aa0860
12331358460
13194411376
14d416a888
158304c599
hex53860188

1401291144 has 128 divisors (see below), whose sum is σ = 4260556800. Its totient is φ = 423213120.

The previous prime is 1401291139. The next prime is 1401291161. The reversal of 1401291144 is 4411921041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 871189 + ... + 872795.

It is an arithmetic number, because the mean of its divisors is an integer number (33285600).

Almost surely, 21401291144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401291144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130278400).

1401291144 is an abundant number, since it is smaller than the sum of its proper divisors (2859265656).

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

1401291144 is a wasteful number, since it uses less digits than its factorization.

1401291144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1401291144 is about 37433.8235289958. The cubic root of 1401291144 is about 1119.0327384423.

The spelling of 1401291144 in words is "one billion, four hundred one million, two hundred ninety-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 367 396 594 734 792 1101 1188 1468 1607 2202 2376 2936 3214 3303 4037 4404 4821 6428 6606 8074 8808 9642 9909 12111 12856 13212 14463 16148 17677 19284 19818 24222 26424 28926 32296 35354 36333 38568 39636 43389 48444 53031 57852 70708 72666 79272 86778 96888 106062 108999 115704 141416 145332 159093 173556 212124 217998 290664 318186 347112 424248 435996 477279 589769 636372 871992 954558 1179538 1272744 1769307 1909116 2359076 3538614 3818232 4718152 5307921 6487459 7077228 10615842 12974918 14154456 15923763 19462377 21231684 25949836 31847526 38924754 42463368 51899672 58387131 63695052 77849508 116774262 127390104 155699016 175161393 233548524 350322786 467097048 700645572 1401291144