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144611026225146 = 232132632349794063
BaseRepresentation
bin100000111000010111100000…
…110110010100011111111010
3200222000200100001120120101200
4200320113200312110133322
5122423301340203201041
61231321215513355030
742313542016360215
oct4070274066243772
9628020301516350
10144611026225146
1142094212336578
1214276704108a76
13628c9b86439c0
14279d2d504a77c
1511ab9e83341b6
hex8385e0d947fa

144611026225146 has 48 divisors (see below), whose sum is σ = 338708715561216. Its totient is φ = 44326515185568.

The previous prime is 144611026225129. The next prime is 144611026225153. The reversal of 144611026225146 is 641522620116441.

144611026225146 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 1 + 1 + 0 + 2 + 622 + 5 + 14 + 6 = 666.

144611026225146 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 1174835490 + ... + 1174958573.

It is an arithmetic number, because the mean of its divisors is an integer number (7056431574192).

Almost surely, 2144611026225146 is an apocalyptic number.

144611026225146 is an abundant number, since it is smaller than the sum of its proper divisors (194097689336070).

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

144611026225146 is a wasteful number, since it uses less digits than its factorization.

144611026225146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349794347 (or 2349794344 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 144611026225146 in words is "one hundred forty-four trillion, six hundred eleven billion, twenty-six million, two hundred twenty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 263 526 789 1578 2367 3419 4734 6838 10257 20514 30771 61542 2349794063 4699588126 7049382189 14098764378 21148146567 30547322819 42296293134 61094645638 91641968457 183283936914 274925905371 549851810742 617995838569 1235991677138 1853987515707 3707975031414 5561962547121 8033945901397 11123925094242 16067891802794 24101837704191 48203675408382 72305513112573 144611026225146