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16405040300 = 22521122765699
BaseRepresentation
bin11110100011101000…
…10000110010101100
31120100021222101122012
433101310100302230
5232044142242200
611311504540352
71120350353555
oct172164206254
946307871565
1016405040300
116a59243650
12321a0216b8
131715970a4c
14b18a8932c
15660352a35
hex3d1d10cac

16405040300 has 72 divisors (see below), whose sum is σ = 39006878400. Its totient is φ = 5939099200.

The previous prime is 16405040299. The next prime is 16405040303. The reversal of 16405040300 is 304050461.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (16405040303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216851 + ... + 282549.

It is an arithmetic number, because the mean of its divisors is an integer number (541762200).

Almost surely, 216405040300 is an apocalyptic number.

16405040300 is a gapful number since it is divisible by the number (10) 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 16405040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19503439200).

16405040300 is an abundant number, since it is smaller than the sum of its proper divisors (22601838100).

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

16405040300 is a wasteful number, since it uses less digits than its factorization.

16405040300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65951 (or 65944 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 16405040300 its reverse (304050461), we get a palindrome (16709090761).

The spelling of 16405040300 in words is "sixteen billion, four hundred five million, forty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 227 275 454 550 908 1100 1135 2270 2497 4540 4994 5675 9988 11350 12485 22700 24970 49940 62425 65699 124850 131398 249700 262796 328495 656990 722689 1313980 1445378 1642475 2890756 3284950 3613445 6569900 7226890 14453780 14913673 18067225 29827346 36134450 59654692 72268900 74568365 149136730 164050403 298273460 328100806 372841825 656201612 745683650 820252015 1491367300 1640504030 3281008060 4101260075 8202520150 16405040300