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1240080876450 = 23452131943127227
BaseRepresentation
bin10010000010111010100…
…101001000001110100010
311101112212100221121010000
4102002322211020032202
5130304141201021300
62345404004520430
7155410234350153
oct22027245101642
94345770847100
101240080876450
11438a08364879
121804046b0116
138cc29346550
144403d74992a
15223cd84ac00
hex120ba9483a2

1240080876450 has 960 divisors, whose sum is σ = 4045981040640. Its totient is φ = 279001013760.

The previous prime is 1240080876443. The next prime is 1240080876473. The reversal of 1240080876450 is 546780800421.

1240080876450 is a `hidden beast` number, since 1 + 2 + 40 + 0 + 80 + 87 + 6 + 450 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1240080876396 and 1240080876405.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5462911237 + ... + 5462911463.

It is an arithmetic number, because the mean of its divisors is an integer number (4214563584).

Almost surely, 21240080876450 is an apocalyptic number.

1240080876450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1240080876450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022990520320).

1240080876450 is an abundant number, since it is smaller than the sum of its proper divisors (2805900164190).

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

1240080876450 is a wasteful number, since it uses less digits than its factorization.

1240080876450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1240080876450 in words is "one trillion, two hundred forty billion, eighty million, eight hundred seventy-six thousand, four hundred fifty".