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141042000 = 24353112137
BaseRepresentation
bin10000110100000…
…10000101010000
3100211101200020210
420122002011100
5242101321000
621555004120
73331560111
oct1032020520
9324350223
10141042000
1172683a40
123b299640
13232b3708
1414a36208
15c5b0350
hex8682150

141042000 has 160 divisors (see below), whose sum is σ = 496289664. Its totient is φ = 34176000.

The previous prime is 141041981. The next prime is 141042001. The reversal of 141042000 is 240141.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141042001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64932 + ... + 67068.

Almost surely, 2141042000 is an apocalyptic number.

141042000 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 141042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248144832).

141042000 is an abundant number, since it is smaller than the sum of its proper divisors (355247664).

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

141042000 is a wasteful number, since it uses less digits than its factorization.

141042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 141042000 is about 11876.1104743935. The cubic root of 141042000 is about 520.5344603509.

Adding to 141042000 its reverse (240141), we get a palindrome (141282141).

The spelling of 141042000 in words is "one hundred forty-one million, forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2137 2200 2640 2750 3000 3300 4125 4274 4400 5500 6000 6411 6600 8250 8548 10685 11000 12822 13200 16500 17096 21370 22000 23507 25644 32055 33000 34192 42740 47014 51288 53425 64110 66000 70521 85480 94028 102576 106850 117535 128220 141042 160275 170960 188056 213700 235070 256440 267125 282084 320550 352605 376112 427400 470140 512880 534250 564168 587675 641100 705210 801375 854800 940280 1068500 1128336 1175350 1282200 1410420 1602750 1763025 1880560 2137000 2350700 2564400 2820840 2938375 3205500 3526050 4274000 4701400 5641680 5876750 6411000 7052100 8815125 9402800 11753500 12822000 14104200 17630250 23507000 28208400 35260500 47014000 70521000 141042000