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1103407144 = 23759521641
BaseRepresentation
bin100000111000100…
…1010100000101000
32211220020220001021
41001301022200220
54224433012034
6301253502224
736225543310
oct10161124050
92756226037
101103407144
11516932134
12269641974
131477a4748
14a6788440
1566d0a6b4
hex41c4a828

1103407144 has 64 divisors (see below), whose sum is σ = 2412892800. Its totient is φ = 463257600.

The previous prime is 1103407139. The next prime is 1103407169. The reversal of 1103407144 is 4417043011.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1721064 + ... + 1721704.

It is an arithmetic number, because the mean of its divisors is an integer number (37701450).

Almost surely, 21103407144 is an apocalyptic number.

1103407144 is a gapful number since it is divisible by the number (14) 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 1103407144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206446400).

1103407144 is an abundant number, since it is smaller than the sum of its proper divisors (1309485656).

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

1103407144 is a wasteful number, since it uses less digits than its factorization.

1103407144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1103407144 is about 33217.5728192172. The cubic root of 1103407144 is about 1033.3448130069.

The spelling of 1103407144 in words is "one billion, one hundred three million, four hundred seven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 413 472 521 641 826 1042 1282 1652 2084 2564 3304 3647 4168 4487 5128 7294 8974 14588 17948 29176 30739 35896 37819 61478 75638 122956 151276 215173 245912 264733 302552 333961 430346 529466 667922 860692 1058932 1335844 1721384 2117864 2337727 2671688 4675454 9350908 18701816 19703699 39407398 78814796 137925893 157629592 275851786 551703572 1103407144