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444520142465240 = 235231579306000043
BaseRepresentation
bin110010100010010011110100…
…1001011111110100011011000
32011021220201012000200210110002
41211010213221023332203120
5431231004222432341430
64213225422335312132
7162426343344014252
oct14504475113764330
92137821160623402
10444520142465240
11119701a2a895016
1241a32b9437b648
13161060b9ac7a9a
147baac65454cd2
15365cec7e46845
hex19449e92fe8d8

444520142465240 has 64 divisors (see below), whose sum is σ = 1044316950163200. Its totient is φ = 169969559329152.

The previous prime is 444520142465173. The next prime is 444520142465249. The reversal of 444520142465240 is 42564241025444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444520142465249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151547342 + ... + 154452701.

It is an arithmetic number, because the mean of its divisors is an integer number (16317452346300).

Almost surely, 2444520142465240 is an apocalyptic number.

444520142465240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444520142465240 is an abundant number, since it is smaller than the sum of its proper divisors (599796807697960).

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

444520142465240 is a wasteful number, since it uses less digits than its factorization.

444520142465240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306001656 (or 306001652 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 47.

The spelling of 444520142465240 in words is "four hundred forty-four trillion, five hundred twenty billion, one hundred forty-two million, four hundred sixty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1579 3158 6316 7895 12632 15790 31580 36317 63160 72634 145268 181585 290536 363170 726340 1452680 306000043 612000086 1224000172 1530000215 2448000344 3060000430 6120000860 7038000989 12240001720 14076001978 28152003956 35190004945 56304007912 70380009890 140760019780 281520039560 483174067897 966348135794 1932696271588 2415870339485 3865392543176 4831740678970 9663481357940 11113003561631 19326962715880 22226007123262 44452014246524 55565017808155 88904028493048 111130035616310 222260071232620 444520142465240