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141379140040 = 23529121878569
BaseRepresentation
bin1000001110101011011…
…0100111100111001000
3111111220221210110012221
42003222312213213020
54304021024440130
6144540525343424
713133335601515
oct2035266474710
9444827713187
10141379140040
1154a5a9254a6
1223497707b74
1310441518aa8
146bb287030c
153a26d4587a
hex20eada79c8

141379140040 has 32 divisors (see below), whose sum is σ = 329072139000. Its totient is φ = 54601598464.

The previous prime is 141379139999. The next prime is 141379140101. The reversal of 141379140040 is 40041973141.

It is a happy number.

141379140040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 128065211044 + 13313928996 = 357862^2 + 115386^2 .

It is a super-2 number, since 2×1413791400402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141379139978 and 141379140005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60938125 + ... + 60940444.

Almost surely, 2141379140040 is an apocalyptic number.

141379140040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141379140040 is an abundant number, since it is smaller than the sum of its proper divisors (187692998960).

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

141379140040 is a wasteful number, since it uses less digits than its factorization.

141379140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121878609 (or 121878605 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 141379140040 in words is "one hundred forty-one billion, three hundred seventy-nine million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 121878569 243757138 487514276 609392845 975028552 1218785690 2437571380 3534478501 4875142760 7068957002 14137914004 17672392505 28275828008 35344785010 70689570020 141379140040