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10432320414132 = 2233140739688379
BaseRepresentation
bin1001011111001111011011…
…0000001010000110110100
31100221022122100100202222110
42113303312300022012310
52331410343011223012
634104313011531020
72124465424261041
oct227636660120664
940838570322873
1010432320414132
11336235a9a3981
121205a2abb9a70
135a89c0800866
14280cd99a01c8
1513157e01a73c
hex97cf6c0a1b4

10432320414132 has 48 divisors (see below), whose sum is σ = 25127962675200. Its totient is φ = 3365177155680.

The previous prime is 10432320414107. The next prime is 10432320414149. The reversal of 10432320414132 is 23141402323401.

10432320414132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10432320414132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14810719 + ... + 15499097.

It is an arithmetic number, because the mean of its divisors is an integer number (523499222400).

Almost surely, 210432320414132 is an apocalyptic number.

10432320414132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10432320414132 is an abundant number, since it is smaller than the sum of its proper divisors (14695642261068).

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

10432320414132 is a wasteful number, since it uses less digits than its factorization.

10432320414132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729156 (or 729154 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10432320414132 its reverse (23141402323401), we get a palindrome (33573722737533).

The spelling of 10432320414132 in words is "ten trillion, four hundred thirty-two billion, three hundred twenty million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 40739 81478 122217 162956 244434 488868 688379 1262909 1376758 2065137 2525818 2753516 3788727 4130274 5051636 7577454 8260548 15154908 21339749 42679498 64019247 85358996 128038494 256076988 28043872081 56087744162 84131616243 112175488324 168263232486 336526464972 869360034511 1738720069022 2608080103533 3477440138044 5216160207066 10432320414132