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132014204040 = 233519937314821
BaseRepresentation
bin111101011110010101…
…0001110010010001000
3110121202022000102010110
41322330222032102020
54130331114012130
6140351350314320
712352302135225
oct1727452162210
9417668012113
10132014204040
1150a94638474
12217033589a0
13c5ab283144
146564bc094c
153679aceab0
hex1ebca8e488

132014204040 has 128 divisors (see below), whose sum is σ = 399126816000. Its totient is φ = 34930621440.

The previous prime is 132014204039. The next prime is 132014204081. The reversal of 132014204040 is 40402410231.

It is a junction number, because it is equal to n+sod(n) for n = 132014203998 and 132014204016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8899830 + ... + 8914650.

It is an arithmetic number, because the mean of its divisors is an integer number (3118178250).

Almost surely, 2132014204040 is an apocalyptic number.

132014204040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132014204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199563408000).

132014204040 is an abundant number, since it is smaller than the sum of its proper divisors (267112611960).

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

132014204040 is a wasteful number, since it uses less digits than its factorization.

132014204040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15407 (or 15403 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 132014204040 its reverse (40402410231), we get a palindrome (172416614271).

The spelling of 132014204040 in words is "one hundred thirty-two billion, fourteen million, two hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 373 398 597 746 796 995 1119 1194 1492 1592 1865 1990 2238 2388 2984 2985 3730 3980 4476 4776 5595 5970 7460 7960 8952 11190 11940 14821 14920 22380 23880 29642 44463 44760 59284 74105 74227 88926 118568 148210 148454 177852 222315 222681 296420 296908 355704 371135 444630 445362 592840 593816 742270 889260 890724 1113405 1484540 1778520 1781448 2226810 2949379 2969080 4453620 5528233 5898758 8848137 8907240 11056466 11797516 14746895 16584699 17696274 22112932 23595032 27641165 29493790 33169398 35392548 44225864 44240685 55282330 58987580 66338796 70785096 82923495 88481370 110564660 117975160 132677592 165846990 176962740 221129320 331693980 353925480 663387960 1100118367 2200236734 3300355101 4400473468 5500591835 6600710202 8800946936 11001183670 13201420404 16501775505 22002367340 26402840808 33003551010 44004734680 66007102020 132014204040