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141405150 = 235217232411
BaseRepresentation
bin10000110110110…
…10101111011110
3100212002010101210
420123122233132
5242144431100
622010445250
73334631625
oct1033325736
9325063353
10141405150
1172901867
123b433826
13233acab3
1414acc6bc
15c632c50
hex86dabde

141405150 has 96 divisors (see below), whose sum is σ = 387618048. Its totient is φ = 33932800.

The previous prime is 141405109. The next prime is 141405179. The reversal of 141405150 is 51504141.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57445 + ... + 59855.

It is an arithmetic number, because the mean of its divisors is an integer number (4037688).

Almost surely, 2141405150 is an apocalyptic number.

141405150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141405150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193809024).

141405150 is an abundant number, since it is smaller than the sum of its proper divisors (246212898).

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

141405150 is a wasteful number, since it uses less digits than its factorization.

141405150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 141405150 is about 11891.3897421622. The cubic root of 141405150 is about 520.9808287689.

Adding to 141405150 its reverse (51504141), we get a palindrome (192909291).

The spelling of 141405150 in words is "one hundred forty-one million, four hundred five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 23 25 30 34 46 50 51 69 75 85 102 115 138 150 170 230 255 345 391 425 510 575 690 782 850 1150 1173 1275 1725 1955 2346 2411 2550 3450 3910 4822 5865 7233 9775 11730 12055 14466 19550 24110 29325 36165 40987 55453 58650 60275 72330 81974 110906 120550 122961 166359 180825 204935 245922 277265 332718 361650 409870 554530 614805 831795 942701 1024675 1229610 1386325 1663590 1885402 2049350 2772650 2828103 3074025 4158975 4713505 5656206 6148050 8317950 9427010 14140515 23567525 28281030 47135050 70702575 141405150