Search a number
-
+
119131299840 = 213357178147
BaseRepresentation
bin110111011110011000…
…1110110000000000000
3102101111110120001220110
41232330301312000000
53422440103043330
6130421141111320
711415120224610
oct1567461660000
9371443501813
10119131299840
1146583570903
121b1089b8540
13b30722c4c7
145aa1c16a40
153173aacdb0
hex1bbcc76000

119131299840 has 448 divisors, whose sum is σ = 461336891904. Its totient is φ = 25625100288.

The previous prime is 119131299821. The next prime is 119131299863. The reversal of 119131299840 is 48992131911.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 119131299840.

It is a congruent number.

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, 14618647 + ... + 14626793.

It is an arithmetic number, because the mean of its divisors is an integer number (1029769848).

Almost surely, 2119131299840 is an apocalyptic number.

119131299840 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 119131299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230668445952).

119131299840 is an abundant number, since it is smaller than the sum of its proper divisors (342205592064).

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

119131299840 is an equidigital number, since it uses as much as digits as its factorization.

119131299840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8205 (or 8181 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 48.

The spelling of 119131299840 in words is "one hundred nineteen billion, one hundred thirty-one million, two hundred ninety-nine thousand, eight hundred forty".