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141995040 = 25351126893
BaseRepresentation
bin10000111011010…
…10110000100000
3100220012002120120
420131222300200
5242322320130
622031240240
73342636465
oct1035526040
9326162516
10141995040
1173174a80
123b679080
1323558445
1414c0366c
15c6ec910
hex876ac20

141995040 has 96 divisors (see below), whose sum is σ = 487964736. Its totient is φ = 34421760.

The previous prime is 141994997. The next prime is 141995047. The reversal of 141995040 is 40599141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 141994992 and 141995010.

It is not an unprimeable number, because it can be changed into a prime (141995047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8167 + ... + 18726.

It is an arithmetic number, because the mean of its divisors is an integer number (5082966).

Almost surely, 2141995040 is an apocalyptic number.

141995040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141995040 is an abundant number, since it is smaller than the sum of its proper divisors (345969696).

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

141995040 is a wasteful number, since it uses less digits than its factorization.

141995040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26922 (or 26914 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 141995040 is about 11916.1671690187. The cubic root of 141995040 is about 521.7042701829.

The spelling of 141995040 in words is "one hundred forty-one million, nine hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 26893 53786 80679 107572 134465 161358 215144 268930 295823 322716 403395 430288 537860 591646 645432 806790 860576 887469 1075720 1183292 1290864 1479115 1613580 1774938 2151440 2366584 2581728 2958230 3227160 3549876 4302880 4437345 4733168 5916460 6454320 7099752 8874690 9466336 11832920 12908640 14199504 17749380 23665840 28399008 35498760 47331680 70997520 141995040