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13445041401504 = 253315561390511
BaseRepresentation
bin1100001110100110101011…
…1010101010111010100000
31202121100000001102011112000
43003221222322222322200
53230240421044322004
644332322230204000
72555241442163646
oct303515272527240
952540001364460
1013445041401504
1143140123a5759
1216118a51b3600
13766b2897230b
14346a5a153196
15184b0a44ac39
hexc3a6aeaaea0

13445041401504 has 48 divisors (see below), whose sum is σ = 39214704090240. Its totient is φ = 4481680466880.

The previous prime is 13445041401461. The next prime is 13445041401509. The reversal of 13445041401504 is 40510414054431.

13445041401504 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 5 + 0 + 4 + 140 + 1 + 504 = 666.

13445041401504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13445041401509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7780694392 + ... + 7780696119.

It is an arithmetic number, because the mean of its divisors is an integer number (816973001880).

Almost surely, 213445041401504 is an apocalyptic number.

It is an amenable number.

13445041401504 is an abundant number, since it is smaller than the sum of its proper divisors (25769662688736).

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

13445041401504 is a wasteful number, since it uses less digits than its factorization.

13445041401504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15561390530 (or 15561390516 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 13445041401504 its reverse (40510414054431), we get a palindrome (53955455455935).

The spelling of 13445041401504 in words is "thirteen trillion, four hundred forty-five billion, forty-one million, four hundred one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 15561390511 31122781022 46684171533 62245562044 93368343066 124491124088 140052514599 186736686132 248982248176 280105029198 373473372264 420157543797 497964496352 560210058396 746946744528 840315087594 1120420116792 1493893489056 1680630175188 2240840233584 3361260350376 4481680467168 6722520700752 13445041401504