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140023101231234 = 235131767109178513
BaseRepresentation
bin11111110101100110101011…
…001101011001000010000010
3200100210002002200021200100000
4133311212223031121002002
5121323114302403344414
61213445420310340430
741331222660356334
oct3765465315310202
9610702080250300
10140023101231234
1140685511283191
12138554b935a716
1360191777548b0
14268122340b454
15112c4c7645b09
hex7f59ab359082

140023101231234 has 384 divisors, whose sum is σ = 367448990388480. Its totient is φ = 39577772703744.

The previous prime is 140023101231193. The next prime is 140023101231253. The reversal of 140023101231234 is 432132101320041.

140023101231234 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 2 + 310 + 1 + 2 + 312 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 140023101231198 and 140023101231207.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 784296762 + ... + 784475274.

It is an arithmetic number, because the mean of its divisors is an integer number (956898412470).

Almost surely, 2140023101231234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140023101231234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183724495194240).

140023101231234 is an abundant number, since it is smaller than the sum of its proper divisors (227425889157246).

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

140023101231234 is a wasteful number, since it uses less digits than its factorization.

140023101231234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178736 (or 178724 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 140023101231234 its reverse (432132101320041), we get a palindrome (572155202551275).

The spelling of 140023101231234 in words is "one hundred forty trillion, twenty-three billion, one hundred one million, two hundred thirty-one thousand, two hundred thirty-four".