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141123419424 = 25331313791711
BaseRepresentation
bin1000001101101110011…
…1000111110100100000
3111111021010121111111000
42003123213013310200
54303010043410144
6144455312352000
713124112162411
oct2033347076440
9444233544430
10141123419424
1154939544849
1223425b45600
1310400552610
146b8a905808
153a0e681769
hex20db9c7d20

141123419424 has 192 divisors, whose sum is σ = 446512711680. Its totient is φ = 43105167360.

The previous prime is 141123419369. The next prime is 141123419447. The reversal of 141123419424 is 424914321141.

141123419424 is a `hidden beast` number, since 1 + 411 + 2 + 34 + 194 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1492929 + ... + 1584639.

It is an arithmetic number, because the mean of its divisors is an integer number (2325587040).

Almost surely, 2141123419424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141123419424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223256355840).

141123419424 is an abundant number, since it is smaller than the sum of its proper divisors (305389292256).

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

141123419424 is a wasteful number, since it uses less digits than its factorization.

141123419424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91880 (or 91866 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 141123419424 in words is "one hundred forty-one billion, one hundred twenty-three million, four hundred nineteen thousand, four hundred twenty-four".