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441445514440 = 23578917714507
BaseRepresentation
bin1100110110010000011…
…00111111110011001000
31120012110002121122112011
412123020030333303020
524213040022430230
6534444113225304
743615300650430
oct6331014776310
91505402548464
10441445514440
11160241536877
127167b262234
1332822016b98
141751a72d2c0
15b73a265e2a
hex66c833fcc8

441445514440 has 64 divisors (see below), whose sum is σ = 1147900118400. Its totient is φ = 149652146688.

The previous prime is 441445514437. The next prime is 441445514459. The reversal of 441445514440 is 44415544144.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 441445514393 and 441445514402.

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, 8832334 + ... + 8882173.

It is an arithmetic number, because the mean of its divisors is an integer number (17935939350).

Almost surely, 2441445514440 is an apocalyptic number.

441445514440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441445514440 is an abundant number, since it is smaller than the sum of its proper divisors (706454603960).

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

441445514440 is a wasteful number, since it uses less digits than its factorization.

441445514440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17714614 (or 17714610 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 40.

The spelling of 441445514440 in words is "four hundred forty-one billion, four hundred forty-five million, five hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 178 280 356 445 623 712 890 1246 1780 2492 3115 3560 4984 6230 12460 24920 17714507 35429014 70858028 88572535 124001549 141716056 177145070 248003098 354290140 496006196 620007745 708580280 992012392 1240015490 1576591123 2480030980 3153182246 4960061960 6306364492 7882955615 11036137861 12612728984 15765911230 22072275722 31531822460 44144551444 55180689305 63063644920 88289102888 110361378610 220722757220 441445514440