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119005906240 = 2651326413433
BaseRepresentation
bin110111011010101001…
…1100000010101000000
3102101011201121102020001
41232311103200111000
53422211002444430
6130400501325344
711412035340604
oct1566523402500
9371151542201
10119005906240
1146519805831
121b092a06854
13b2b7267600
145a8d2d5504
153167a8e3ca
hex1bb54e0540

119005906240 has 168 divisors, whose sum is σ = 307426556088. Its totient is φ = 43859312640.

The previous prime is 119005906237. The next prime is 119005906241. The reversal of 119005906240 is 42609500911.

It can be written as a sum of positive squares in 12 ways, for example, as 50143749184 + 68862157056 = 223928^2 + 262416^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 119005906240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119005906241) 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, 34663564 + ... + 34666996.

Almost surely, 2119005906240 is an apocalyptic number.

119005906240 is a gapful number since it is divisible by the number (10) 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 119005906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153713278044).

119005906240 is an abundant number, since it is smaller than the sum of its proper divisors (188420649848).

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

119005906240 is a wasteful number, since it uses less digits than its factorization.

119005906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117 (or 4094 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 119005906240 in words is "one hundred nineteen billion, five million, nine hundred six thousand, two hundred forty".