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132201432344344 = 23116793912387629
BaseRepresentation
bin11110000011110010001011…
…011010011110011100011000
3122100002100000010100110021211
4132003302023122132130120
5114311442013140004334
61145100255525112504
736563144506660546
oct3603621332363430
9570070003313254
10132201432344344
113913a34908a770
12129b1634258734
13589c706b0024c
142490825060d96
151043ce162da64
hex783c8b69e718

132201432344344 has 64 divisors (see below), whose sum is σ = 274477360550400. Its totient is φ = 59188343068800.

The previous prime is 132201432344341. The next prime is 132201432344363. The reversal of 132201432344344 is 443443234102231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132201432344297 and 132201432344306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132201432344341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54175522 + ... + 56563150.

It is an arithmetic number, because the mean of its divisors is an integer number (4288708758600).

Almost surely, 2132201432344344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132201432344344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137238680275200).

132201432344344 is an abundant number, since it is smaller than the sum of its proper divisors (142275928206056).

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

132201432344344 is a wasteful number, since it uses less digits than its factorization.

132201432344344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397104 (or 2397100 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 132201432344344 its reverse (443443234102231), we get a palindrome (575644666446575).

The spelling of 132201432344344 in words is "one hundred thirty-two trillion, two hundred one billion, four hundred thirty-two million, three hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 67 88 134 268 536 737 1474 2948 5896 9391 18782 37564 75128 103301 206602 413204 629197 826408 1258394 2387629 2516788 4775258 5033576 6921167 9550516 13842334 19101032 26263919 27684668 52527838 55369336 105055676 159971143 210111352 319942286 639884572 1279769144 1759682573 3519365146 7038730292 14077460584 22422223939 44844447878 89688895756 179377791512 246644463329 493288926658 986577853316 1502289003913 1973155706632 3004578007826 6009156015652 12018312031304 16525179043043 33050358086086 66100716172172 132201432344344