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441678675942 = 232731711058001
BaseRepresentation
bin1100110110101100001…
…10011011111111100110
31120020001100100110222100
412123112012123333212
524214024220112232
6534523202512530
743624131541530
oct6332606337746
91506040313870
10441678675942
11160351109529
1271725365746
133285b41217a
141753d6a4850
15b750970c7c
hex66d619bfe6

441678675942 has 48 divisors (see below), whose sum is σ = 1097130726432. Its totient is φ = 125795808000.

The previous prime is 441678675941. The next prime is 441678675943. The reversal of 441678675942 is 249576876144.

441678675942 is a `hidden beast` number, since 4 + 416 + 78 + 67 + 5 + 94 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (441678675941) and next prime (441678675943).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 441678675942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441678675941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5489059 + ... + 5568942.

It is an arithmetic number, because the mean of its divisors is an integer number (22856890134).

Almost surely, 2441678675942 is an apocalyptic number.

441678675942 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

441678675942 is an abundant number, since it is smaller than the sum of its proper divisors (655452050490).

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

441678675942 is a wasteful number, since it uses less digits than its factorization.

441678675942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11058333 (or 11058330 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 441678675942 in words is "four hundred forty-one billion, six hundred seventy-eight million, six hundred seventy-five thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 317 634 951 1902 2219 2853 4438 5706 6657 13314 19971 39942 11058001 22116002 33174003 66348006 77406007 99522009 154812014 199044018 232218021 464436042 696654063 1393308126 3505386317 7010772634 10516158951 21032317902 24537704219 31548476853 49075408438 63096953706 73613112657 147226225314 220839337971 441678675942