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42661077144 = 2337253934983
BaseRepresentation
bin100111101110110011…
…000110000010011000
311002010010100021002020
4213232303012002120
51144332213432034
631333114534440
73040116113130
oct475663060230
9132103307066
1042661077144
111710207a754
128327137420
13403b48b81a
1420c9b8bac0
15119a42e249
hex9eecc6098

42661077144 has 32 divisors (see below), whose sum is σ = 121888792320. Its totient is φ = 12188879136.

The previous prime is 42661077103. The next prime is 42661077163. The reversal of 42661077144 is 44177016624.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 42661077096 and 42661077105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126967324 + ... + 126967659.

It is an arithmetic number, because the mean of its divisors is an integer number (3809024760).

Almost surely, 242661077144 is an apocalyptic number.

It is an amenable number.

42661077144 is an abundant number, since it is smaller than the sum of its proper divisors (79227715176).

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

42661077144 is a wasteful number, since it uses less digits than its factorization.

42661077144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253934999 (or 253934995 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 42661077144 in words is "forty-two billion, six hundred sixty-one million, seventy-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 253934983 507869966 761804949 1015739932 1523609898 1777544881 2031479864 3047219796 3555089762 5332634643 6094439592 7110179524 10665269286 14220359048 21330538572 42661077144