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141018900 = 2235211151283
BaseRepresentation
bin10000110011111…
…00011100010100
3100211100111120020
420121330130110
5242100101100
621554305140
73331432551
oct1031743424
9324314506
10141018900
1172668650
123b2881b0
13232a6049
1414a2ba28
15c5a85a0
hex867c714

141018900 has 144 divisors (see below), whose sum is σ = 449637888. Its totient is φ = 33840000.

The previous prime is 141018883. The next prime is 141018901. The reversal of 141018900 is 9810141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141018901) 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 47 ways as a sum of consecutive naturals, for example, 498159 + ... + 498441.

Almost surely, 2141018900 is an apocalyptic number.

141018900 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 141018900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224818944).

141018900 is an abundant number, since it is smaller than the sum of its proper divisors (308618988).

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

141018900 is a wasteful number, since it uses less digits than its factorization.

141018900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 141018900 is about 11875.1378939362. The cubic root of 141018900 is about 520.5060409143.

The spelling of 141018900 in words is "one hundred forty-one million, eighteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 151 165 220 275 283 300 302 330 453 550 566 604 660 755 825 849 906 1100 1132 1415 1510 1650 1661 1698 1812 2265 2830 3020 3113 3300 3322 3396 3775 4245 4530 4983 5660 6226 6644 7075 7550 8305 8490 9060 9339 9966 11325 12452 14150 15100 15565 16610 16980 18678 19932 21225 22650 24915 28300 31130 33220 37356 41525 42450 42733 45300 46695 49830 62260 77825 83050 84900 85466 93390 99660 124575 128199 155650 166100 170932 186780 213665 233475 249150 256398 311300 427330 466950 470063 498300 512796 640995 854660 933900 940126 1068325 1281990 1410189 1880252 2136650 2350315 2563980 2820378 3204975 4273300 4700630 5640756 6409950 7050945 9401260 11751575 12819900 14101890 23503150 28203780 35254725 47006300 70509450 141018900