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132334121040 = 24351150126561
BaseRepresentation
bin111101100111110111…
…0100111000001010000
3110122120120222212202020
41323033232213001100
54132010013333130
6140443215251440
712363235316652
oct1731756470120
9418516885666
10132334121040
1151139185890
1221792519b80
13c62c635644
14659549a6d2
153697c24e10
hex1ecfba7050

132334121040 has 80 divisors (see below), whose sum is σ = 447529945536. Its totient is φ = 32080998400.

The previous prime is 132334121011. The next prime is 132334121089. The reversal of 132334121040 is 40121433231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132334121040.

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, 25060641 + ... + 25065920.

Almost surely, 2132334121040 is an apocalyptic number.

132334121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132334121040 is an abundant number, since it is smaller than the sum of its proper divisors (315195824496).

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

132334121040 is a wasteful number, since it uses less digits than its factorization.

132334121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50126588 (or 50126582 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132334121040 its reverse (40121433231), we get a palindrome (172455554271).

The spelling of 132334121040 in words is "one hundred thirty-two billion, three hundred thirty-four million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 50126561 100253122 150379683 200506244 250632805 300759366 401012488 501265610 551392171 601518732 751898415 802024976 1002531220 1102784342 1203037464 1503796830 1654176513 2005062440 2205568684 2406074928 2756960855 3007593660 3308353026 4010124880 4411137368 5513921710 6015187320 6616706052 8270882565 8822274736 11027843420 12030374640 13233412104 16541765130 22055686840 26466824208 33083530260 44111373680 66167060520 132334121040