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141022080 = 273358161
BaseRepresentation
bin10000110011111…
…01001110000000
3100211100122221000
420121331032000
5242100201310
621554332000
73331445043
oct1031751600
9324318830
10141022080
117266aa81
123b28a000
13232a7624
1414a2cc5a
15c5a94c0
hex867d380

141022080 has 128 divisors (see below), whose sum is σ = 499514400. Its totient is φ = 37601280.

The previous prime is 141022073. The next prime is 141022103. The reversal of 141022080 is 80220141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13200 + ... + 21360.

Almost surely, 2141022080 is an apocalyptic number.

141022080 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 141022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249757200).

141022080 is an abundant number, since it is smaller than the sum of its proper divisors (358492320).

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

141022080 is an equidigital number, since it uses as much as digits as its factorization.

141022080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8189 (or 8171 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 141022080 is about 11875.2717863635. The cubic root of 141022080 is about 520.5099533846.

The spelling of 141022080 in words is "one hundred forty-one million, twenty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8161 8640 16322 17280 24483 32644 40805 48966 65288 73449 81610 97932 122415 130576 146898 163220 195864 220347 244830 261152 293796 326440 367245 391728 440694 489660 522304 587592 652880 734490 783456 881388 979320 1044608 1101735 1175184 1305760 1468980 1566912 1762776 1958640 2203470 2350368 2611520 2937960 3133824 3525552 3917280 4406940 4700736 5223040 5875920 7051104 7834560 8813880 9401472 11751840 14102208 15669120 17627760 23503680 28204416 35255520 47007360 70511040 141022080