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13021014440 = 2357591974001
BaseRepresentation
bin11000010000001110…
…01110100110101000
31020121110100001212002
430020013032212220
5203131334430230
65552021310132
7640446540140
oct141007164650
936543301762
1013021014440
115582028965
122634865348
1312c684ba95
148b7479920
15513203545
hex3081ce9a8

13021014440 has 128 divisors (see below), whose sum is σ = 34231507200. Its totient is φ = 4365312000.

The previous prime is 13021014439. The next prime is 13021014443. The reversal of 13021014440 is 4441012031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13021014443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3252440 + ... + 3256440.

It is an arithmetic number, because the mean of its divisors is an integer number (267433650).

Almost surely, 213021014440 is an apocalyptic number.

13021014440 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 13021014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17115753600).

13021014440 is an abundant number, since it is smaller than the sum of its proper divisors (21210492760).

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

13021014440 is a wasteful number, since it uses less digits than its factorization.

13021014440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13021014440 its reverse (4441012031), we get a palindrome (17462026471).

The spelling of 13021014440 in words is "thirteen billion, twenty-one million, fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 118 140 197 236 280 295 394 413 472 590 788 826 985 1180 1379 1576 1652 1970 2065 2360 2758 3304 3940 4001 4130 5516 6895 7880 8002 8260 11032 11623 13790 16004 16520 20005 23246 27580 28007 32008 40010 46492 55160 56014 58115 80020 81361 92984 112028 116230 140035 160040 162722 224056 232460 236059 280070 325444 406805 464920 472118 560140 650888 788197 813610 944236 1120280 1180295 1576394 1627220 1652413 1888472 2360590 3152788 3254440 3304826 3940985 4721180 5517379 6305576 6609652 7881970 8262065 9442360 11034758 13219304 15763940 16524130 22069516 27586895 31527880 33048260 44139032 46503623 55173790 66096520 93007246 110347580 186014492 220695160 232518115 325525361 372028984 465036230 651050722 930072460 1302101444 1627626805 1860144920 2604202888 3255253610 6510507220 13021014440