Search a number
-
+
1321324004040 = 233571155084977
BaseRepresentation
bin10011001110100101000…
…011000100001011001000
311200022120100020002120120
4103032211003010023020
5133122032421112130
62451001411023240
7164314432502355
oct23164503041310
94608510202516
101321324004040
1146a408a54027
121940b889ab20
13977a5b92b01
1447d4963d62c
1524586023910
hex133a50c42c8

1321324004040 has 64 divisors (see below), whose sum is σ = 4019802629760. Its totient is φ = 347390346240.

The previous prime is 1321324004023. The next prime is 1321324004047. The reversal of 1321324004040 is 404004231231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1321324004040.

It is not an unprimeable number, because it can be changed into a prime (1321324004047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77533969 + ... + 77551008.

It is an arithmetic number, because the mean of its divisors is an integer number (62809416090).

Almost surely, 21321324004040 is an apocalyptic number.

1321324004040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321324004040 is an abundant number, since it is smaller than the sum of its proper divisors (2698478625720).

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

1321324004040 is a wasteful number, since it uses less digits than its factorization.

1321324004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155085062 (or 155085058 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1321324004040 its reverse (404004231231), we get a palindrome (1725328235271).

The spelling of 1321324004040 in words is "one trillion, three hundred twenty-one billion, three hundred twenty-four million, four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 155084977 310169954 465254931 620339908 775424885 930509862 1240679816 1550849770 1861019724 2326274655 3101699540 3722039448 4652549310 6203399080 9305098620 11011033367 18610197240 22022066734 33033100101 44044133468 55055166835 66066200202 88088266936 110110333670 132132400404 165165500505 220220667340 264264800808 330331001010 440441334680 660662002020 1321324004040