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445311412320 = 25351754572477
BaseRepresentation
bin1100111101011101010…
…00001110100001100000
31120120102111222121110010
412132232220032201200
524243444210143240
6540323453004520
744113142356635
oct6365650164140
91516374877403
10445311412320
111619457570a5
1272379a83740
1332cb9c14918
14177a5d3618c
15b8b484c280
hex67aea0e860

445311412320 has 96 divisors (see below), whose sum is σ = 1485244561248. Its totient is φ = 111764430848.

The previous prime is 445311412283. The next prime is 445311412331. The reversal of 445311412320 is 23214113544.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27278079 + ... + 27294398.

It is an arithmetic number, because the mean of its divisors is an integer number (15471297513).

Almost surely, 2445311412320 is an apocalyptic number.

445311412320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445311412320 is an abundant number, since it is smaller than the sum of its proper divisors (1039933148928).

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

445311412320 is a wasteful number, since it uses less digits than its factorization.

445311412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54572512 (or 54572504 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 445311412320 its reverse (23214113544), we get a palindrome (468525525864).

The spelling of 445311412320 in words is "four hundred forty-five billion, three hundred eleven million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 54572477 109144954 163717431 218289908 272862385 327434862 436579816 545724770 654869724 818587155 873159632 927732109 1091449540 1309739448 1637174310 1746319264 1855464218 2182899080 2619478896 2783196327 3274348620 3710928436 4365798160 4638660545 5238957792 5566392654 6548697240 7421856872 8731596320 9277321090 11132785308 13097394480 13915981635 14843713744 18554642180 22265570616 26194788960 27831963270 29687427488 37109284360 44531141232 55663926540 74218568720 89062282464 111327853080 148437137440 222655706160 445311412320