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12404312440 = 23513167142841
BaseRepresentation
bin10111000110101101…
…01100100101111000
31012000110220100202021
423203112230211320
5200401000444230
65410511244224
7616250626132
oct134326544570
935013810667
1012404312440
115295a02593
1224a2219674
131228b55c60
148595c6052
154c8ed6c7a
hex2e35ac978

12404312440 has 64 divisors (see below), whose sum is σ = 30236794560. Its totient is φ = 4552596480.

The previous prime is 12404312411. The next prime is 12404312447. The reversal of 12404312440 is 4421340421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12404312447) 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, 15420 + ... + 158260.

It is an arithmetic number, because the mean of its divisors is an integer number (472449915).

Almost surely, 212404312440 is an apocalyptic number.

12404312440 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 12404312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15118397280).

12404312440 is an abundant number, since it is smaller than the sum of its proper divisors (17832482120).

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

12404312440 is a wasteful number, since it uses less digits than its factorization.

12404312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143032 (or 143028 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 12404312440 its reverse (4421340421), we get a palindrome (16825652861).

The spelling of 12404312440 in words is "twelve billion, four hundred four million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 167 260 334 520 668 835 1336 1670 2171 3340 4342 6680 8684 10855 17368 21710 43420 86840 142841 285682 571364 714205 1142728 1428410 1856933 2856820 3713866 5713640 7427732 9284665 14855464 18569330 23854447 37138660 47708894 74277320 95417788 119272235 190835576 238544470 310107811 477088940 620215622 954177880 1240431244 1550539055 2480862488 3101078110 6202156220 12404312440