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141881126040 = 2334543790471
BaseRepresentation
bin1000010000100011000…
…1100010110010011000
3111120012221100222120000
42010020301202302120
54311033032013130
6145102420533000
713151642446533
oct2041061426230
9446187328500
10141881126040
1155198218a65
12235b7851160
13104c1517b24
146c1d3c1a1a
153a55e52260
hex2108c62c98

141881126040 has 80 divisors (see below), whose sum is σ = 476878240080. Its totient is φ = 37834966080.

The previous prime is 141881126017. The next prime is 141881126041. The reversal of 141881126040 is 40621188141.

141881126040 is a `hidden beast` number, since 1 + 41 + 8 + 8 + 1 + 1 + 2 + 604 + 0 = 666.

141881126040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 141881125986 and 141881126004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141881126041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21891996 + ... + 21898475.

It is an arithmetic number, because the mean of its divisors is an integer number (5960978001).

Almost surely, 2141881126040 is an apocalyptic number.

141881126040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141881126040 is an abundant number, since it is smaller than the sum of its proper divisors (334997114040).

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

141881126040 is a wasteful number, since it uses less digits than its factorization.

141881126040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43790494 (or 43790481 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 141881126040 in words is "one hundred forty-one billion, eight hundred eighty-one million, one hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 43790471 87580942 131371413 175161884 218952355 262742826 350323768 394114239 437904710 525485652 656857065 788228478 875809420 1050971304 1182342717 1313714130 1576456956 1751618840 1970571195 2364685434 2627428260 3152913912 3547028151 3941142390 4729370868 5254856520 5911713585 7094056302 7882284780 9458741736 11823427170 14188112604 15764569560 17735140755 23646854340 28376225208 35470281510 47293708680 70940563020 141881126040