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141545440 = 25519101461
BaseRepresentation
bin10000110111111…
…00111111100000
3100212100020211201
420123330333200
5242213423230
622013450544
73336054631
oct1033747740
9325306751
10141545440
1172998203
123b4a0a54
132342b8ca
1414b27888
15c65e5ca
hex86fcfe0

141545440 has 96 divisors (see below), whose sum is σ = 356257440. Its totient is φ = 52992000.

The previous prime is 141545431. The next prime is 141545441. The reversal of 141545440 is 44545141.

It is a super-2 number, since 2×1415454402 = 40070223169587200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141545399 and 141545408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141545441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306810 + ... + 307270.

It is an arithmetic number, because the mean of its divisors is an integer number (3711015).

Almost surely, 2141545440 is an apocalyptic number.

141545440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178128720).

141545440 is an abundant number, since it is smaller than the sum of its proper divisors (214712000).

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

141545440 is a wasteful number, since it uses less digits than its factorization.

141545440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 141545440 is about 11897.2870857183. The cubic root of 141545440 is about 521.1530625786.

The spelling of 141545440 in words is "one hundred forty-one million, five hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 101 152 160 190 202 304 380 404 461 505 608 760 808 922 1010 1520 1616 1844 1919 2020 2305 3040 3232 3688 3838 4040 4610 7376 7676 8080 8759 9220 9595 14752 15352 16160 17518 18440 19190 30704 35036 36880 38380 43795 46561 61408 70072 73760 76760 87590 93122 140144 153520 175180 186244 232805 280288 307040 350360 372488 465610 700720 744976 884659 931220 1401440 1489952 1769318 1862440 3538636 3724880 4423295 7077272 7449760 8846590 14154544 17693180 28309088 35386360 70772720 141545440