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132042400143040 = 2658319924982291
BaseRepresentation
bin11110000001011110000100…
…010110110001011011000000
3122022112010111220012120112001
4132001132010112301123000
5114301340313414034130
61144455235145113344
736545514524401102
oct3601360426613300
9568463456176461
10132042400143040
113908895a5a7042
1212986850788854
13588a71120789a
142486c59cb5572
15103ead4b116ca
hex7817845b16c0

132042400143040 has 112 divisors (see below), whose sum is σ = 319813309267200. Its totient is φ = 51918394936320.

The previous prime is 132042400143037. The next prime is 132042400143053. The reversal of 132042400143040 is 40341004240231.

It is a super-5 number, since 5×1320424001430405 (a number of 72 digits) contains 55555 as substring.

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, 7205706 + ... + 17776585.

It is an arithmetic number, because the mean of its divisors is an integer number (2855475975600).

Almost surely, 2132042400143040 is an apocalyptic number.

132042400143040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132042400143040 is an abundant number, since it is smaller than the sum of its proper divisors (187770909124160).

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

132042400143040 is a wasteful number, since it uses less digits than its factorization.

132042400143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24982590 (or 24982580 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 132042400143040 its reverse (40341004240231), we get a palindrome (172383404383271).

The spelling of 132042400143040 in words is "one hundred thirty-two trillion, forty-two billion, four hundred million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 160 166 199 320 332 398 415 664 796 830 995 1328 1592 1660 1990 2656 3184 3320 3980 5312 6368 6640 7960 12736 13280 15920 16517 26560 31840 33034 63680 66068 82585 132136 165170 264272 330340 528544 660680 1057088 1321360 2642720 5285440 24982291 49964582 99929164 124911455 199858328 249822910 399716656 499645820 799433312 999291640 1598866624 1998583280 2073530153 3997166560 4147060306 4971475909 7994333120 8294120612 9942951818 10367650765 16588241224 19885903636 20735301530 24857379545 33176482448 39771807272 41470603060 49714759090 66352964896 79543614544 82941206120 99429518180 132705929792 159087229088 165882412240 198859036360 318174458176 331764824480 397718072720 412632500447 663529648960 795436145440 825265000894 1590872290880 1650530001788 2063162502235 3301060003576 4126325004470 6602120007152 8252650008940 13204240014304 16505300017880 26408480028608 33010600035760 66021200071520 132042400143040