Search a number
-
+
119091349440 = 26335719372801
BaseRepresentation
bin110111011101001100…
…1011100011111000000
3102101101200101101021000
41232322121130133000
53422344341140230
6130413152532000
711414123524260
oct1567231343700
9371350341230
10119091349440
1146562a64548
121b0b7551000
13b2cbb8240b
145a9a7b77a0
15317031ab60
hex1bba65c7c0

119091349440 has 896 divisors, whose sum is σ = 519262156800. Its totient is φ = 25082265600.

The previous prime is 119091349417. The next prime is 119091349471. The reversal of 119091349440 is 44943190911.

119091349440 is a `hidden beast` number, since 1 + 1 + 90 + 91 + 34 + 9 + 440 = 666.

It is a super-2 number, since 2×1190913494402 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42516040 + ... + 42518840.

Almost surely, 2119091349440 is an apocalyptic number.

119091349440 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 119091349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259631078400).

119091349440 is an abundant number, since it is smaller than the sum of its proper divisors (400170807360).

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

119091349440 is a wasteful number, since it uses less digits than its factorization.

119091349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 119091349440 in words is "one hundred nineteen billion, ninety-one million, three hundred forty-nine thousand, four hundred forty".