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13202014144 = 261131604931
BaseRepresentation
bin11000100101110011…
…01011111111000000
31021002001220210202211
430102321223333000
5204014203423034
610022004551504
7645105161104
oct142271537700
937061823684
1013202014144
1156652136a0
1226853b2594
1313251b29b7
148d3513904
15524057d64
hex312e6bfc0

13202014144 has 56 divisors (see below), whose sum is σ = 29501323776. Its totient is φ = 5807328000.

The previous prime is 13202014103. The next prime is 13202014219. The reversal of 13202014144 is 44141020231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280642 + ... + 324289.

Almost surely, 213202014144 is an apocalyptic number.

It is an amenable number.

13202014144 is an abundant number, since it is smaller than the sum of its proper divisors (16299309632).

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

13202014144 is a wasteful number, since it uses less digits than its factorization.

13202014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604985 (or 604975 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 13202014144 its reverse (44141020231), we get a palindrome (57343034375).

The spelling of 13202014144 in words is "thirteen billion, two hundred two million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 682 704 992 1364 1984 2728 5456 10912 21824 604931 1209862 2419724 4839448 6654241 9678896 13308482 18752861 19357792 26616964 37505722 38715584 53233928 75011444 106467856 150022888 206281471 212935712 300045776 412562942 425871424 600091552 825125884 1200183104 1650251768 3300503536 6601007072 13202014144