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141132373200 = 2432527132311069
BaseRepresentation
bin1000001101110000100…
…1010001110011010000
3111111021202110101202100
42003130021101303100
54303014341420300
6144500232320400
713124251243620
oct2033411216320
9444252411670
10141132373200
11549435aa965
1223428b43100
1310402368c00
146b8bb96880
153a1034e700
hex20dc251cd0

141132373200 has 1080 divisors, whose sum is σ = 626241108480. Its totient is φ = 28789862400.

The previous prime is 141132373181. The next prime is 141132373241. The reversal of 141132373200 is 2373231141.

It is a happy number.

141132373200 is a `hidden beast` number, since 1 + 4 + 11 + 323 + 7 + 320 + 0 = 666.

It is a super-3 number, since 3×1411323732003 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 132022266 + ... + 132023334.

Almost surely, 2141132373200 is an apocalyptic number.

141132373200 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 141132373200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313120554240).

141132373200 is an abundant number, since it is smaller than the sum of its proper divisors (485108735280).

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

141132373200 is a wasteful number, since it uses less digits than its factorization.

141132373200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 141132373200 in words is "one hundred forty-one billion, one hundred thirty-two million, three hundred seventy-three thousand, two hundred".