Search a number
-
+
119330152381440 = 2103257111317314909
BaseRepresentation
bin11011001000011110110111…
…010101111111110000000000
3120122111211222111022022121200
4123020132313111333300000
5111120101123002201230
61101443303141421200
734064214263315220
oct3310366725776000
9518454874268550
10119330152381440
11350276a70a8020
1211472b9670a800
135177a28aa8970
14216787851c080
15dbe0b7777160
hex6c87b757fc00

119330152381440 has 4224 divisors, whose sum is σ = 606897976688640. Its totient is φ = 20842964582400.

The previous prime is 119330152381439. The next prime is 119330152381463. The reversal of 119330152381440 is 44183251033911.

119330152381440 is a `hidden beast` number, since 1 + 1 + 9 + 3 + 3 + 0 + 1 + 523 + 81 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

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 383 ways as a sum of consecutive naturals, for example, 24308441706 + ... + 24308446614.

Almost surely, 2119330152381440 is an apocalyptic number.

119330152381440 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 119330152381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303448988344320).

119330152381440 is an abundant number, since it is smaller than the sum of its proper divisors (487567824307200).

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

119330152381440 is a wasteful number, since it uses less digits than its factorization.

119330152381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 119330152381440 in words is "one hundred nineteen trillion, three hundred thirty billion, one hundred fifty-two million, three hundred eighty-one thousand, four hundred forty".