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132911195040 = 25325137099957
BaseRepresentation
bin111101111001000011…
…1111110001110100000
3110201001210212021110100
41323302013332032200
54134200231220130
6141020352102400
712413443342311
oct1736207761640
9421053767410
10132911195040
11514049a5048
1221913834a00
13c6c2065050
14660bd96608
1536cd714c60
hex1ef21fe3a0

132911195040 has 144 divisors (see below), whose sum is σ = 488448710568. Its totient is φ = 32716597248.

The previous prime is 132911195033. The next prime is 132911195141. The reversal of 132911195040 is 40591119231.

132911195040 is a `hidden beast` number, since 1 + 32 + 9 + 1 + 119 + 504 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63740091024 + 69171104016 = 252468^2 + 263004^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132911194986 and 132911195004.

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, 3531259 + ... + 3568698.

Almost surely, 2132911195040 is an apocalyptic number.

132911195040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132911195040 is an abundant number, since it is smaller than the sum of its proper divisors (355537515528).

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

132911195040 is a wasteful number, since it uses less digits than its factorization.

132911195040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7099991 (or 7099980 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 132911195040 in words is "one hundred thirty-two billion, nine hundred eleven million, one hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 7099957 14199914 21299871 28399828 35499785 42599742 56799656 63899613 70999570 85199484 92299441 106499355 113599312 127799226 141999140 170398968 184598882 212998710 227198624 255598452 276898323 283998280 319498065 340797936 369197764 425997420 461497205 511196904 553796646 567996560 638996130 681595872 738395528 830694969 851994840 922994410 1022393808 1107593292 1135993120 1277992260 1384491615 1476791056 1661389938 1703989680 1845988820 2044787616 2215186584 2555984520 2768983230 2953582112 3322779876 3407979360 3691977640 4153474845 4430373168 5111969040 5537966460 6645559752 7383955280 8306949690 8860746336 10223938080 11075932920 13291119504 14767910560 16613899380 22151865840 26582239008 33227798760 44303731680 66455597520 132911195040