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13412544544 = 257296730817
BaseRepresentation
bin11000111110111001…
…10011000000100000
31021121202001212012001
430133130303000200
5204432102411134
610054525213344
7653242514260
oct143734630040
937552055161
1013412544544
115763039263
122723a01254
1313599b60b9
149134777a0
15537792414
hex31f733020

13412544544 has 96 divisors (see below), whose sum is σ = 31685834880. Its totient is φ = 5467004928.

The previous prime is 13412544533. The next prime is 13412544589. The reversal of 13412544544 is 44544521431.

It is a super-2 number, since 2×134125445442 (a number of 21 digits) contains 22 as substring.

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, 419824 + ... + 450640.

It is an arithmetic number, because the mean of its divisors is an integer number (330060780).

Almost surely, 213412544544 is an apocalyptic number.

13412544544 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 13412544544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842917440).

13412544544 is an abundant number, since it is smaller than the sum of its proper divisors (18273290336).

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

13412544544 is a wasteful number, since it uses less digits than its factorization.

13412544544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30930 (or 30922 counting only the distinct ones).

The product of its digits is 153600, while the sum is 37.

The spelling of 13412544544 in words is "thirteen billion, four hundred twelve million, five hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 67 112 116 134 203 224 232 268 406 464 469 536 812 928 938 1072 1624 1876 1943 2144 3248 3752 3886 6496 7504 7772 13601 15008 15544 27202 30817 31088 54404 61634 62176 108808 123268 215719 217616 246536 431438 435232 493072 862876 893693 986144 1725752 1787386 2064739 3451504 3574772 4129478 6255851 6903008 7149544 8258956 12511702 14299088 14453173 16517912 25023404 28598176 28906346 33035824 50046808 57812692 59877431 66071648 100093616 115625384 119754862 200187232 231250768 239509724 419142017 462501536 479019448 838284034 958038896 1676568068 1916077792 3353136136 6706272272 13412544544