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13124411440 = 245774331543
BaseRepresentation
bin11000011100100011…
…01010000000110000
31020212122220011212121
430032101222000300
5203334322131230
610010153404024
7643143441130
oct141621520060
936778804777
1013124411440
11562542a628
122663409614
1313120b183a
148c70b2ac0
1551c32977a
hex30e46a030

13124411440 has 80 divisors (see below), whose sum is σ = 34921479168. Its totient is φ = 4493599488.

The previous prime is 13124411431. The next prime is 13124411497. The reversal of 13124411440 is 4411442131.

It is a tau number, because it is divible by the number of its divisors (80).

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, 400309 + ... + 431851.

Almost surely, 213124411440 is an apocalyptic number.

13124411440 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 13124411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17460739584).

13124411440 is an abundant number, since it is smaller than the sum of its proper divisors (21797067728).

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

13124411440 is a wasteful number, since it uses less digits than its factorization.

13124411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32306 (or 32300 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 13124411440 its reverse (4411442131), we get a palindrome (17535853571).

The spelling of 13124411440 in words is "thirteen billion, one hundred twenty-four million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 743 1486 2972 3715 5201 5944 7430 10402 11888 14860 20804 26005 29720 31543 41608 52010 59440 63086 83216 104020 126172 157715 208040 220801 252344 315430 416080 441602 504688 630860 883204 1104005 1261720 1766408 2208010 2523440 3532816 4416020 8832040 17664080 23436449 46872898 93745796 117182245 164055143 187491592 234364490 328110286 374983184 468728980 656220572 820275715 937457960 1312441144 1640551430 1874915920 2624882288 3281102860 6562205720 13124411440