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13445301024 = 2533127122533
BaseRepresentation
bin11001000010110011…
…10000001100100000
31021201000201001122000
430201121300030200
5210013444113044
610102055244000
7654121113231
oct144131601440
937630631560
1013445301024
11577a581731
122732979600
13136371492c
14917963088
1553a5b2d69
hex321670320

13445301024 has 96 divisors (see below), whose sum is σ = 39524567040. Its totient is φ = 4446441216.

The previous prime is 13445300993. The next prime is 13445301041. The reversal of 13445301024 is 42010354431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×134453010242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 48462 + ... + 170994.

It is an arithmetic number, because the mean of its divisors is an integer number (411714240).

Almost surely, 213445301024 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 13445301024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19762283520).

13445301024 is an abundant number, since it is smaller than the sum of its proper divisors (26079266016).

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

13445301024 is a wasteful number, since it uses less digits than its factorization.

13445301024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122679 (or 122665 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13445301024 its reverse (42010354431), we get a palindrome (55455655455).

The spelling of 13445301024 in words is "thirteen billion, four hundred forty-five million, three hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 127 144 216 254 288 381 432 508 762 864 1016 1143 1524 2032 2286 3048 3429 4064 4572 6096 6858 9144 12192 13716 18288 27432 36576 54864 109728 122533 245066 367599 490132 735198 980264 1102797 1470396 1960528 2205594 2940792 3308391 3921056 4411188 5881584 6616782 8822376 11763168 13233564 15561691 17644752 26467128 31123382 35289504 46685073 52934256 62246764 93370146 105868512 124493528 140055219 186740292 248987056 280110438 373480584 420165657 497974112 560220876 746961168 840331314 1120441752 1493922336 1680662628 2240883504 3361325256 4481767008 6722650512 13445301024