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141542874000 = 243253112331081
BaseRepresentation
bin1000001111010010011…
…1001101101110010000
3111112100100212222222200
42003310213031232100
54304334433432000
6145005055003200
713140364402143
oct2036447155620
9445310788880
10141542874000
1155034298220
1223522509500
1310469415ca8
146bca4d205a
153a363d9500
hex20f49cdb90

141542874000 has 480 divisors, whose sum is σ = 562770194688. Its totient is φ = 32820480000.

The previous prime is 141542873999. The next prime is 141542874001. The reversal of 141542874000 is 478245141.

It is a happy number.

141542874000 is a `hidden beast` number, since 1 + 41 + 542 + 8 + 74 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (141542873999) and next prime (141542874001).

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

It is not an unprimeable number, because it can be changed into a prime (141542874001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4538460 + ... + 4569540.

Almost surely, 2141542874000 is an apocalyptic number.

141542874000 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 141542874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281385097344).

141542874000 is an abundant number, since it is smaller than the sum of its proper divisors (421227320688).

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

141542874000 is a wasteful number, since it uses less digits than its factorization.

141542874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31144 (or 31125 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 141542874000 in words is "one hundred forty-one billion, five hundred forty-two million, eight hundred seventy-four thousand".