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119229060140640 = 2535517434195063
BaseRepresentation
bin11011000111000000101101…
…110001101100111001100000
3120122011012001012102101200000
4123013000231301230321200
5111111422103344000030
61101325024000100000
734054005154411212
oct3307005561547140
9518135035371600
10119229060140640
1134a9884017727a
1211457483004600
13516b337c041b8
142162a083bc5b2
15dbb64c6da860
hex6c702dc6ce60

119229060140640 has 576 divisors, whose sum is σ = 457148138743296. Its totient is φ = 29228238692352.

The previous prime is 119229060140627. The next prime is 119229060140653. The reversal of 119229060140640 is 46041060922911.

119229060140640 is a `hidden beast` number, since 1 + 19 + 2 + 29 + 0 + 601 + 4 + 0 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (119229060140627) and next prime (119229060140653).

It is a super-3 number, since 3×1192290601406403 (a number of 43 digits) contains 333 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 95 ways as a sum of consecutive naturals, for example, 26323749 + ... + 30518811.

It is an arithmetic number, because the mean of its divisors is an integer number (793659963096).

Almost surely, 2119229060140640 is an apocalyptic number.

119229060140640 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 119229060140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228574069371648).

119229060140640 is an abundant number, since it is smaller than the sum of its proper divisors (337919078602656).

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

119229060140640 is a wasteful number, since it uses less digits than its factorization.

119229060140640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4195153 (or 4195133 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 119229060140640 in words is "one hundred nineteen trillion, two hundred twenty-nine billion, sixty million, one hundred forty thousand, six hundred forty".