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132111223440040 = 235131051241731727
BaseRepresentation
bin11110000010011110001010…
…100010110100001010101000
3122022202201011022101022100001
4132002132022202310022220
5114304002241200040130
61144551020323152344
736553502162642545
oct3602361242641250
9568681138338301
10132111223440040
1139105067554799
12129980595156b4
13589405b926a70
14248a308503bcc
1510417b1c896ca
hex78278a8b42a8

132111223440040 has 64 divisors (see below), whose sum is σ = 320420240098560. Its totient is φ = 48733115961600.

The previous prime is 132111223440013. The next prime is 132111223440233. The reversal of 132111223440040 is 40044322111231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132111223439990 and 132111223440008.

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, 120319344 + ... + 121412383.

It is an arithmetic number, because the mean of its divisors is an integer number (5006566251540).

Almost surely, 2132111223440040 is an apocalyptic number.

132111223440040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132111223440040 is an abundant number, since it is smaller than the sum of its proper divisors (188309016658520).

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

132111223440040 is a wasteful number, since it uses less digits than its factorization.

132111223440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241732802 (or 241732798 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 132111223440040 its reverse (40044322111231), we get a palindrome (172155545551271).

The spelling of 132111223440040 in words is "one hundred thirty-two trillion, one hundred eleven billion, two hundred twenty-three million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1051 2102 4204 5255 8408 10510 13663 21020 27326 42040 54652 68315 109304 136630 273260 546520 241731727 483463454 966926908 1208658635 1933853816 2417317270 3142512451 4834634540 6285024902 9669269080 12570049804 15712562255 25140099608 31425124510 62850249020 125700498040 254060045077 508120090154 1016240180308 1270300225385 2032480360616 2540600450770 3302780586001 5081200901540 6605561172002 10162401803080 13211122344004 16513902930005 26422244688008 33027805860010 66055611720020 132111223440040