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140434011432 = 2332111323593029
BaseRepresentation
bin1000001011001010000…
…1001111010100101000
3111102111002100221111200
42002302201033110220
54300102101331212
6144303044124200
713101041254521
oct2026241172450
9442432327450
10140434011432
115461537a380
1223273096660
13103207813b0
146b23127848
1539bdda26dc
hex20b284f528

140434011432 has 192 divisors, whose sum is σ = 466263907200. Its totient is φ = 37574254080.

The previous prime is 140434011401. The next prime is 140434011439. The reversal of 140434011432 is 234110434041.

140434011432 is a `hidden beast` number, since 140 + 43 + 40 + 11 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 140434011396 and 140434011405.

It is not an unprimeable number, because it can be changed into a prime (140434011439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59707 + ... + 533322.

It is an arithmetic number, because the mean of its divisors is an integer number (2428457850).

Almost surely, 2140434011432 is an apocalyptic number.

140434011432 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 140434011432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233131953600).

140434011432 is an abundant number, since it is smaller than the sum of its proper divisors (325829895768).

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

140434011432 is a wasteful number, since it uses less digits than its factorization.

140434011432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593088 (or 593081 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 140434011432 its reverse (234110434041), we get a palindrome (374544445473).

The spelling of 140434011432 in words is "one hundred forty billion, four hundred thirty-four million, eleven thousand, four hundred thirty-two".