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132240114144 = 25322915833347
BaseRepresentation
bin111101100101000100…
…0000000000111100000
3110122100001002211112100
41323022020000013200
54131311432123034
6140430020330400
712361014265245
oct1731210000740
9418301084470
10132240114144
11510a0108036
1221766b43a00
13c61600c968
146586bc95cc
15368e856099
hex1eca2001e0

132240114144 has 72 divisors (see below), whose sum is σ = 389025360360. Its totient is φ = 42560034048.

The previous prime is 132240114089. The next prime is 132240114191. The reversal of 132240114144 is 441411042231.

132240114144 is a `hidden beast` number, since 1 + 3 + 2 + 240 + 1 + 1 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7908322 + ... + 7925025.

It is an arithmetic number, because the mean of its divisors is an integer number (5403130005).

Almost surely, 2132240114144 is an apocalyptic number.

It is an amenable number.

132240114144 is an abundant number, since it is smaller than the sum of its proper divisors (256785246216).

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

132240114144 is a wasteful number, since it uses less digits than its factorization.

132240114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15833392 (or 15833381 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 132240114144 its reverse (441411042231), we get a palindrome (573651156375).

The spelling of 132240114144 in words is "one hundred thirty-two billion, two hundred forty million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 15833347 31666694 47500041 63333388 95000082 126666776 142500123 190000164 253333552 285000246 380000328 459167063 506667104 570000492 760000656 918334126 1140000984 1377501189 1520001312 1836668252 2280001968 2755002378 3673336504 4132503567 4560003936 5510004756 7346673008 8265007134 11020009512 14693346016 16530014268 22040019024 33060028536 44080038048 66120057072 132240114144