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1074976212144 = 243171969335411
BaseRepresentation
bin11111010010010011001…
…00110100010010110000
310210202200221101122010010
433221021210310102300
5120103022402242034
62141500502534520
7140443625016552
oct17511144642260
93722627348103
101074976212144
1138499305788a
12154407437440
137a4a6663503
143a059ccb4d2
151ce68b803e9
hexfa499344b0

1074976212144 has 80 divisors (see below), whose sum is σ = 3095132791680. Its totient is φ = 319497569280.

The previous prime is 1074976212137. The next prime is 1074976212157. The reversal of 1074976212144 is 4412126794701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1074976212093 and 1074976212102.

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, 34652202 + ... + 34683209.

It is an arithmetic number, because the mean of its divisors is an integer number (38689159896).

Almost surely, 21074976212144 is an apocalyptic number.

It is an amenable number.

1074976212144 is an abundant number, since it is smaller than the sum of its proper divisors (2020156579536).

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

1074976212144 is a wasteful number, since it uses less digits than its factorization.

1074976212144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69335458 (or 69335452 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 1074976212144 in words is "one trillion, seventy-four billion, nine hundred seventy-six million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 912 969 1292 1938 2584 3876 5168 7752 15504 69335411 138670822 208006233 277341644 416012466 554683288 832024932 1109366576 1178701987 1317372809 1664049864 2357403974 2634745618 3328099728 3536105961 3952118427 4714807948 5269491236 7072211922 7904236854 9429615896 10538982472 14144423844 15808473708 18859231792 21077964944 22395337753 28288847688 31616947416 44790675506 56577695376 63233894832 67186013259 89581351012 134372026518 179162702024 268744053036 358325404048 537488106072 1074976212144