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140014404432 = 243271017391861
BaseRepresentation
bin1000001001100110000…
…0100100001101010000
3111101101211210200220200
42002121200210031100
54243222141420212
6144153254335200
713054454541510
oct2023140441520
9441354720820
10140014404432
115441a532431
122317665a500
1310284866526
146ac34db840
1539971196dc
hex2099824350

140014404432 has 240 divisors, whose sum is σ = 453113082240. Its totient is φ = 39533184000.

The previous prime is 140014404403. The next prime is 140014404443. The reversal of 140014404432 is 234404410041.

It is a super-2 number, since 2×1400144044322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140014404396 and 140014404405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75235182 + ... + 75237042.

It is an arithmetic number, because the mean of its divisors is an integer number (1887971176).

Almost surely, 2140014404432 is an apocalyptic number.

140014404432 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 140014404432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226556541120).

140014404432 is an abundant number, since it is smaller than the sum of its proper divisors (313098677808).

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

140014404432 is a wasteful number, since it uses less digits than its factorization.

140014404432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 140014404432 its reverse (234404410041), we get a palindrome (374418814473).

It can be divided in two parts, 140014 and 404432, that added together give a triangular number (544446 = T1043).

The spelling of 140014404432 in words is "one hundred forty billion, fourteen million, four hundred four thousand, four hundred thirty-two".