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1404045132 = 2237891091723
BaseRepresentation
bin101001110110000…
…0000011101001100
310121211221212211120
41103230000131030
510333413421012
6351153320540
746536121020
oct12354003514
93554855746
101404045132
11660601986
12332266150
13194b66a49
14d4686380
15833e358c
hex53b0074c

1404045132 has 96 divisors (see below), whose sum is σ = 3823142400. Its totient is φ = 392781312.

The previous prime is 1404045127. The next prime is 1404045157. The reversal of 1404045132 is 2315404041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 814023 + ... + 815745.

It is an arithmetic number, because the mean of its divisors is an integer number (39824400).

Almost surely, 21404045132 is an apocalyptic number.

1404045132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404045132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911571200).

1404045132 is an abundant number, since it is smaller than the sum of its proper divisors (2419097268).

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

1404045132 is a wasteful number, since it uses less digits than its factorization.

1404045132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1404045132 is about 37470.5902275371. The cubic root of 1404045132 is about 1119.7653451854.

Adding to 1404045132 its reverse (2315404041), we get a palindrome (3719449173).

The spelling of 1404045132 in words is "one billion, four hundred four million, forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 109 178 218 267 327 356 436 534 623 654 763 1068 1246 1308 1526 1723 1869 2289 2492 3052 3446 3738 4578 5169 6892 7476 9156 9701 10338 12061 19402 20676 24122 29103 36183 38804 48244 58206 67907 72366 116412 135814 144732 153347 187807 203721 271628 306694 375614 407442 460041 563421 613388 751228 814884 920082 1073429 1126842 1314649 1840164 2146858 2253684 2629298 3220287 3943947 4293716 5258596 6440574 7887894 12881148 15775788 16714823 33429646 50144469 66859292 100288938 117003761 200577876 234007522 351011283 468015044 702022566 1404045132