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141130444424040 = 23325392029012289
BaseRepresentation
bin100000000101101101111110…
…000000011100001101101000
3200111200221100022212021212200
4200011231332000130031220
5121444240122233032130
61220054233042140200
741504223656246301
oct4005557600341550
9614627308767780
10141130444424040
1140a720a3683665
12139b4038351660
13609970b977766
1426bca6dc497a8
15114b1d7b02760
hex805b7e01c368

141130444424040 has 48 divisors (see below), whose sum is σ = 458673944379300. Its totient is φ = 37634785179648.

The previous prime is 141130444423993. The next prime is 141130444424089. The reversal of 141130444424040 is 40424444031141.

141130444424040 is a `hidden beast` number, since 1 + 4 + 1 + 130 + 4 + 4 + 442 + 40 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131724237585924 + 9406206838116 = 11477118^2 + 3066954^2 .

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 = 141130444423986 and 141130444424004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196014505785 + ... + 196014506504.

Almost surely, 2141130444424040 is an apocalyptic number.

141130444424040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141130444424040 is an abundant number, since it is smaller than the sum of its proper divisors (317543499955260).

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

141130444424040 is a wasteful number, since it uses less digits than its factorization.

141130444424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392029012306 (or 392029012299 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 141130444424040 its reverse (40424444031141), we get a palindrome (181554888455181).

The spelling of 141130444424040 in words is "one hundred forty-one trillion, one hundred thirty billion, four hundred forty-four million, four hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 392029012289 784058024578 1176087036867 1568116049156 1960145061445 2352174073734 3136232098312 3528261110601 3920290122890 4704348147468 5880435184335 7056522221202 7840580245780 9408696294936 11760870368670 14113044442404 15681160491560 17641305553005 23521740737340 28226088884808 35282611106010 47043481474680 70565222212020 141130444424040