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1340244518976 = 263311142749411
BaseRepresentation
bin10011100000001100110…
…011000110100001000000
311202010101221111211201000
4103200030303012201000
5133424310044101401
62503411055212000
7165554336305446
oct23401463064100
94663357454630
101340244518976
114774380aaa30
121978b9217000
13994cca2068c
1448c22406b96
1524ce210c186
hex1380ccc6840

1340244518976 has 224 divisors, whose sum is σ = 4301358082560. Its totient is φ = 405841881600.

The previous prime is 1340244518953. The next prime is 1340244518981. The reversal of 1340244518976 is 6798154420431.

1340244518976 is a `hidden beast` number, since 1 + 3 + 40 + 2 + 4 + 451 + 89 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27099711 + ... + 27149121.

It is an arithmetic number, because the mean of its divisors is an integer number (19202491440).

It is a 1-persistent number, because it is pandigital, but 2⋅1340244518976 = 2680489037952 is not.

Almost surely, 21340244518976 is an apocalyptic number.

1340244518976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340244518976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150679041280).

1340244518976 is an abundant number, since it is smaller than the sum of its proper divisors (2961113563584).

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

1340244518976 is a wasteful number, since it uses less digits than its factorization.

1340244518976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50870 (or 50854 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1340244518976 in words is "one trillion, three hundred forty billion, two hundred forty-four million, five hundred eighteen thousand, nine hundred seventy-six".