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141122304 = 2833171201
BaseRepresentation
bin10000110100101…
…01101100000000
3100211112202102000
420122111230000
5242111403204
622000424000
73332343201
oct1032255400
9324482360
10141122304
1172729304
123b318000
132331112b
1414a575a8
15c5c9039
hex8695b00

141122304 has 144 divisors (see below), whose sum is σ = 442239840. Its totient is φ = 44236800.

The previous prime is 141122297. The next prime is 141122309. The reversal of 141122304 is 403221141.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (141122309) 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, 116904 + ... + 118104.

It is an arithmetic number, because the mean of its divisors is an integer number (3071110).

Almost surely, 2141122304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221119920).

141122304 is an abundant number, since it is smaller than the sum of its proper divisors (301117536).

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

141122304 is a wasteful number, since it uses less digits than its factorization.

141122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 141122304 is about 11879.4908981825. The cubic root of 141122304 is about 520.6332325098.

Adding to 141122304 its reverse (403221141), we get a palindrome (544343445).

The spelling of 141122304 in words is "one hundred forty-one million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 544 576 612 768 816 864 918 1088 1152 1201 1224 1632 1728 1836 2176 2304 2402 2448 3264 3456 3603 3672 4352 4804 4896 6528 6912 7206 7344 9608 9792 10809 13056 14412 14688 19216 19584 20417 21618 28824 29376 32427 38432 39168 40834 43236 57648 58752 61251 64854 76864 81668 86472 115296 117504 122502 129708 153728 163336 172944 183753 230592 245004 259416 307456 326672 345888 367506 461184 490008 518832 551259 653344 691776 735012 922368 980016 1037664 1102518 1306688 1383552 1470024 1960032 2075328 2205036 2613376 2767104 2940048 3920064 4150656 4410072 5226752 5880096 7840128 8301312 8820144 11760192 15680256 17640288 23520384 35280576 47040768 70561152 141122304