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119930173440 = 2113572117243
BaseRepresentation
bin110111110110001100…
…1010011100000000000
3102110120010210001110120
41233230121103200000
53431104111022230
6131032315500240
711443660440300
oct1575431234000
9373503701416
10119930173440
1146953502420
121b2b0457680
13b4038a978c
145b39d6b600
1531bdcb1310
hex1bec653800

119930173440 has 576 divisors, whose sum is σ = 486967178880. Its totient is φ = 24917114880.

The previous prime is 119930173439. The next prime is 119930173523. The reversal of 119930173440 is 44371039911.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 119930173392 and 119930173401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16554459 + ... + 16561701.

It is an arithmetic number, because the mean of its divisors is an integer number (845429130).

Almost surely, 2119930173440 is an apocalyptic number.

119930173440 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 119930173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243483589440).

119930173440 is an abundant number, since it is smaller than the sum of its proper divisors (367037005440).

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

119930173440 is a wasteful number, since it uses less digits than its factorization.

119930173440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7298 (or 7271 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 119930173440 in words is "one hundred nineteen billion, nine hundred thirty million, one hundred seventy-three thousand, four hundred forty".