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141414923832 = 233713194317907
BaseRepresentation
bin1000001110110011111…
…1000111111000111000
3111112000110010110100120
42003230333013320320
54304104210030312
6144544244333240
713134252006450
oct2035477077070
9445013113316
10141414923832
1154a79046386
12234a76a4220
1310448a67530
146bb7506d60
153a2a06328c
hex20ecfc7e38

141414923832 has 256 divisors, whose sum is σ = 459144806400. Its totient is φ = 35246845440.

The previous prime is 141414923789. The next prime is 141414923893. The reversal of 141414923832 is 238329414141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17880823 + ... + 17888729.

It is an arithmetic number, because the mean of its divisors is an integer number (1793534400).

Almost surely, 2141414923832 is an apocalyptic number.

141414923832 is a gapful number since it is divisible by the number (12) 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 141414923832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229572403200).

141414923832 is an abundant number, since it is smaller than the sum of its proper divisors (317729882568).

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

141414923832 is a wasteful number, since it uses less digits than its factorization.

141414923832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8386 (or 8382 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The spelling of 141414923832 in words is "one hundred forty-one billion, four hundred fourteen million, nine hundred twenty-three thousand, eight hundred thirty-two".