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132001241040 = 243251091681973
BaseRepresentation
bin111101011101111100…
…0110001011111010000
3110121201101121211020100
41322323320301133100
54130314304203130
6140350204412400
712352054015224
oct1727370613720
9417641554210
10132001241040
1150a88294149
12216bab47100
13c5a8694a26
1465631a8784
1536788bdc60
hex1ebbe317d0

132001241040 has 120 divisors (see below), whose sum is σ = 447371444520. Its totient is φ = 34877371392.

The previous prime is 132001241027. The next prime is 132001241063. The reversal of 132001241040 is 40142100231.

132001241040 is a `hidden beast` number, since 1 + 3 + 200 + 12 + 410 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23014103616 + 108987137424 = 151704^2 + 330132^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1320012410402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 762507 + ... + 919466.

It is an arithmetic number, because the mean of its divisors is an integer number (3728095371).

Almost surely, 2132001241040 is an apocalyptic number.

132001241040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132001241040 is an abundant number, since it is smaller than the sum of its proper divisors (315370203480).

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

132001241040 is a wasteful number, since it uses less digits than its factorization.

132001241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682101 (or 1682092 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 132001241040 its reverse (40142100231), we get a palindrome (172143341271).

The spelling of 132001241040 in words is "one hundred thirty-two billion, one million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 109 120 144 180 218 240 327 360 436 545 654 720 872 981 1090 1308 1635 1744 1962 2180 2616 3270 3924 4360 4905 5232 6540 7848 8720 9810 13080 15696 19620 26160 39240 78480 1681973 3363946 5045919 6727892 8409865 10091838 13455784 15137757 16819730 20183676 25229595 26911568 30275514 33639460 40367352 50459190 60551028 67278920 75688785 80734704 100918380 121102056 134557840 151377570 183335057 201836760 242204112 302755140 366670114 403673520 550005171 605510280 733340228 916675285 1100010342 1211020560 1466680456 1650015513 1833350570 2200020684 2750025855 2933360912 3300031026 3666701140 4400041368 5500051710 6600062052 7333402280 8250077565 8800082736 11000103420 13200124104 14666804560 16500155130 22000206840 26400248208 33000310260 44000413680 66000620520 132001241040