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445777410140 = 225107601346601
BaseRepresentation
bin1100111110010100110…
…01110111100001011100
31120121121222211202021122
412133022121313201130
524300423004111030
6540442020550112
744130531316106
oct6371231674134
91517558752248
10445777410140
111620647aa167
1272489b52338
133306262318a
141780bb9a576
15b8e06ea8e5
hex67ca67785c

445777410140 has 48 divisors (see below), whose sum is σ = 946456376544. Its totient is φ = 176350080000.

The previous prime is 445777410137. The next prime is 445777410191. The reversal of 445777410140 is 41014777544.

It is a super-2 number, since 2×4457774101402 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 445777410091 and 445777410100.

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, 1112840 + ... + 1459440.

It is an arithmetic number, because the mean of its divisors is an integer number (19717841178).

Almost surely, 2445777410140 is an apocalyptic number.

It is an amenable number.

445777410140 is an abundant number, since it is smaller than the sum of its proper divisors (500678966404).

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

445777410140 is a wasteful number, since it uses less digits than its factorization.

445777410140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347318 (or 347316 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 44.

The spelling of 445777410140 in words is "four hundred forty-five billion, seven hundred seventy-seven million, four hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 107 214 428 535 601 1070 1202 2140 2404 3005 6010 12020 64307 128614 257228 321535 346601 643070 693202 1286140 1386404 1733005 3466010 6932020 37086307 74172614 148345228 185431535 208307201 370863070 416614402 741726140 833228804 1041536005 2083072010 4166144020 22288870507 44577741014 89155482028 111444352535 222888705070 445777410140