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119290010040 = 23335314143247
BaseRepresentation
bin110111100011000111…
…1010001100110111000
3102101220112012101101000
41233012033101212320
53423301220310130
6130445010525000
711422055232555
oct1570617214670
9371815171330
10119290010040
1146655112163
121b151b96760
13b33108ab76
145ab8d2ba2c
1531829ad260
hex1bc63d19b8

119290010040 has 768 divisors, whose sum is σ = 439636377600. Its totient is φ = 28711065600.

The previous prime is 119290010027. The next prime is 119290010053. The reversal of 119290010040 is 40010092911.

It is an interprime number because it is at equal distance from previous prime (119290010027) and next prime (119290010053).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 119290009986 and 119290010013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2538085297 + ... + 2538085343.

It is an arithmetic number, because the mean of its divisors is an integer number (572443200).

Almost surely, 2119290010040 is an apocalyptic number.

119290010040 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 119290010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219818188800).

119290010040 is an abundant number, since it is smaller than the sum of its proper divisors (320346367560).

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

119290010040 is a wasteful number, since it uses less digits than its factorization.

119290010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 119290010040 in words is "one hundred nineteen billion, two hundred ninety million, ten thousand, forty".