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141730940514240 = 2633572111931163317
BaseRepresentation
bin100000001110011101001110…
…010111001110111111000000
3200120211100022221012100012000
4200032131032113032333000
5122034104431232423430
61221234143433304000
741565502554635400
oct4016351627167700
9616740287170160
10141730940514240
1141183833003060
1213a904a5265000
13611122a31b55c
1426ddb57d48800
15115bb312b4e60
hex80e74e5cefc0

141730940514240 has 5376 divisors, whose sum is σ = 695860214169600. Its totient is φ = 26750236262400.

The previous prime is 141730940514239. The next prime is 141730940514253. The reversal of 141730940514240 is 42415049037141.

141730940514240 is a `hidden beast` number, since 1 + 4 + 1 + 7 + 3 + 0 + 94 + 0 + 514 + 2 + 40 = 666.

141730940514240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 767 ways as a sum of consecutive naturals, for example, 447100758562 + ... + 447100758878.

Almost surely, 2141730940514240 is an apocalyptic number.

141730940514240 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 141730940514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347930107084800).

141730940514240 is an abundant number, since it is smaller than the sum of its proper divisors (554129273655360).

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

141730940514240 is a wasteful number, since it uses less digits than its factorization.

141730940514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 141730940514240 in words is "one hundred forty-one trillion, seven hundred thirty billion, nine hundred forty million, five hundred fourteen thousand, two hundred forty".