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444613606101342 = 23373900112530701
BaseRepresentation
bin110010100010111111010110…
…0000011011101000101011110
32011022020122102200000110002000
41211011332230003131011132
5431234022131130220332
64213340400525343130
7162436162431555246
oct14505765403350536
92138218380013060
10444613606101342
11119738631656187
1241a49119107aa6
1316111b63393b82
147bb15b0366b26
1536606483eab7c
hex1945fac0dd15e

444613606101342 has 64 divisors (see below), whose sum is σ = 1001676249107520. Its totient is φ = 146158084800000.

The previous prime is 444613606101323. The next prime is 444613606101473. The reversal of 444613606101342 is 243101606316444.

444613606101342 is a `hidden beast` number, since 4 + 4 + 4 + 6 + 1 + 3 + 606 + 1 + 0 + 1 + 34 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29216592 + ... + 41747292.

It is an arithmetic number, because the mean of its divisors is an integer number (15651191392305).

Almost surely, 2444613606101342 is an apocalyptic number.

444613606101342 is an abundant number, since it is smaller than the sum of its proper divisors (557062643006178).

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

444613606101342 is a wasteful number, since it uses less digits than its factorization.

444613606101342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12539786 (or 12539780 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 444613606101342 in words is "four hundred forty-four trillion, six hundred thirteen billion, six hundred six million, one hundred one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 657 1314 1971 3942 9001 18002 27003 54006 81009 162018 243027 486054 657073 1314146 1971219 3942438 5913657 11827314 12530701 17740971 25061402 35481942 37592103 75184206 112776309 225552618 338328927 676657854 914741173 1829482346 2744223519 5488447038 8232670557 16465341114 24698011671 49396023342 112788839701 225577679402 338366519103 676733038206 1015099557309 2030199114618 3045298671927 6090597343854 8233585298173 16467170596346 24700755894519 49401511789038 74102267683557 148204535367114 222306803050671 444613606101342