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3253044521144 = 231125973097793
BaseRepresentation
bin101111010101101000100…
…100000010100010111000
3102111222200021011211102202
4233111220210002202320
5411244213344134034
610530232241445332
7454011322124555
oct57255044024270
912458607154382
103253044521144
111044676909800
12446566040848
131a79b75909a2
14b363bbbda2c
155994499847e
hex2f5689028b8

3253044521144 has 96 divisors (see below), whose sum is σ = 6819804558000. Its totient is φ = 1453209246720.

The previous prime is 3253044521123. The next prime is 3253044521159. The reversal of 3253044521144 is 4411254403523.

It is a junction number, because it is equal to n+sod(n) for n = 3253044521098 and 3253044521107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417427712 + ... + 417435504.

Almost surely, 23253044521144 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 3253044521144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409902279000).

3253044521144 is an abundant number, since it is smaller than the sum of its proper divisors (3566760036856).

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

3253044521144 is a wasteful number, since it uses less digits than its factorization.

3253044521144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15189 (or 15174 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 3253044521144 its reverse (4411254403523), we get a palindrome (7664298924667).

The spelling of 3253044521144 in words is "three trillion, two hundred fifty-three billion, forty-four million, five hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 59 88 118 121 236 242 472 484 649 968 1298 2596 5192 7139 7309 7793 14278 14618 15586 28556 29236 31172 57112 58472 62344 80399 85723 160798 171446 321596 342892 431231 459787 643192 685784 862462 884389 919574 942953 1724924 1768778 1839148 1885906 3449848 3537556 3678296 3771812 4743541 5057657 7075112 7543624 9487082 10115314 18974164 20230628 37948328 40461256 52178951 55634227 56959037 104357902 111268454 113918074 208715804 222536908 227836148 417431608 445073816 455672296 626549407 1253098814 2506197628 3360583183 5012395256 6721166366 6892043477 13442332732 13784086954 26884665464 27568173908 36966415013 55136347816 73932830026 147865660052 295731320104 406630565143 813261130286 1626522260572 3253044521144