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13402401144 = 23311379133949
BaseRepresentation
bin11000111101101100…
…00110100101111000
31021121000222112001120
430132312012211320
5204422003314034
610053523545240
7653060346546
oct143666064570
937530875046
1013402401144
115758340390
12272052b220
1313578741a2
14911d96d96
1553693bc49
hex31ed86978

13402401144 has 64 divisors (see below), whose sum is σ = 36648720000. Its totient is φ = 4050587520.

The previous prime is 13402401107. The next prime is 13402401157. The reversal of 13402401144 is 44110420431.

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

It is a congruent number.

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, 33082 + ... + 167030.

It is an arithmetic number, because the mean of its divisors is an integer number (572636250).

Almost surely, 213402401144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13402401144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18324360000).

13402401144 is an abundant number, since it is smaller than the sum of its proper divisors (23246318856).

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

13402401144 is a wasteful number, since it uses less digits than its factorization.

13402401144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134348 (or 134344 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13402401144 its reverse (44110420431), we get a palindrome (57512821575).

The spelling of 13402401144 in words is "thirteen billion, four hundred two million, four hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 379 758 1137 1516 2274 3032 4169 4548 8338 9096 12507 16676 25014 33352 50028 100056 133949 267898 401847 535796 803694 1071592 1473439 1607388 2946878 3214776 4420317 5893756 8840634 11787512 17681268 35362536 50766671 101533342 152300013 203066684 304600026 406133368 558433381 609200052 1116866762 1218400104 1675300143 2233733524 3350600286 4467467048 6701200572 13402401144