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1404103104 = 26324016079
BaseRepresentation
bin101001110110000…
…1110100111000000
310121212001211100200
41103230032213000
510333422244404
6351154445200
746536452025
oct12354164700
93555054320
101404103104
11660641498
12332293800
13194b87251
14d469d54c
1583405839
hex53b0e9c0

1404103104 has 84 divisors (see below), whose sum is σ = 4035308160. Its totient is φ = 466790400.

The previous prime is 1404103091. The next prime is 1404103133. The reversal of 1404103104 is 4013014041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 227937 + ... + 234015.

Almost surely, 21404103104 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 1404103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017654080).

1404103104 is an abundant number, since it is smaller than the sum of its proper divisors (2631205056).

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

1404103104 is a wasteful number, since it uses less digits than its factorization.

1404103104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6498 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1404103104 is about 37471.3637862301. The cubic root of 1404103104 is about 1119.7807564049.

Adding to 1404103104 its reverse (4013014041), we get a palindrome (5417117145).

The spelling of 1404103104 in words is "one billion, four hundred four million, one hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 401 576 802 1203 1604 2406 3208 3609 4812 6079 6416 7218 9624 12158 12832 14436 18237 19248 24316 25664 28872 36474 38496 48632 54711 57744 72948 76992 97264 109422 115488 145896 194528 218844 230976 291792 389056 437688 583584 875376 1167168 1750752 2437679 3501504 4875358 7313037 9750716 14626074 19501432 21939111 29252148 39002864 43878222 58504296 78005728 87756444 117008592 156011456 175512888 234017184 351025776 468034368 702051552 1404103104