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42032000231040 = 273521891666787
BaseRepresentation
bin10011000111010010101100…
…11100010110011010000000
312111211012221100212000210210
421203221112130112122000
521002123014024343130
6225221122341154120
711565466102034031
oct1143512634263200
9174735840760723
1042032000231040
11124357423a4096
12486a0bb9bb940
131a5b7a671c491
14a54506ccca88
154cd53722e5b0
hex263a56716680

42032000231040 has 64 divisors (see below), whose sum is σ = 133977000742560. Its totient is φ = 11208533394432.

The previous prime is 42032000230951. The next prime is 42032000231051. The reversal of 42032000231040 is 4013200023024.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×420320002310402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42032000230998 and 42032000231016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10945831474 + ... + 10945835313.

Almost surely, 242032000231040 is an apocalyptic number.

42032000231040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42032000231040 is an abundant number, since it is smaller than the sum of its proper divisors (91945000511520).

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

42032000231040 is a wasteful number, since it uses less digits than its factorization.

42032000231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21891666809 (or 21891666797 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 42032000231040 its reverse (4013200023024), we get a palindrome (46045200254064).

The spelling of 42032000231040 in words is "forty-two trillion, thirty-two billion, two hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 21891666787 43783333574 65675000361 87566667148 109458333935 131350000722 175133334296 218916667870 262700001444 328375001805 350266668592 437833335740 525400002888 656750003610 700533337184 875666671480 1050800005776 1313500007220 1401066674368 1751333342960 2101600011552 2627000014440 2802133348736 3502666685920 4203200023104 5254000028880 7005333371840 8406400046208 10508000057760 14010666743680 21016000115520 42032000231040