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14246034192 = 2433136737861
BaseRepresentation
bin11010100010010000…
…10011101100010000
31100202211102112001000
431101020103230100
5213133441043232
610313341542000
71013013202245
oct152110235420
940684375030
1014246034192
116050573385
122916b74900
131460593440
1499203d5cc
15585a3227c
hex351213b10

14246034192 has 160 divisors (see below), whose sum is σ = 44695333760. Its totient is φ = 4317857280.

The previous prime is 14246034167. The next prime is 14246034227. The reversal of 14246034192 is 29143064241.

14246034192 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 603 + 41 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 357342 + ... + 395202.

It is an arithmetic number, because the mean of its divisors is an integer number (279345836).

Almost surely, 214246034192 is an apocalyptic number.

14246034192 is a gapful number since it is divisible by the number (12) 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 14246034192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22347666880).

14246034192 is an abundant number, since it is smaller than the sum of its proper divisors (30449299568).

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

14246034192 is a wasteful number, since it uses less digits than its factorization.

14246034192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37958 (or 37946 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 14246034192 in words is "fourteen billion, two hundred forty-six million, thirty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 67 72 78 104 108 117 134 144 156 201 208 216 234 268 312 351 402 432 468 536 603 624 702 804 871 936 1072 1206 1404 1608 1742 1809 1872 2412 2613 2808 3216 3484 3618 4824 5226 5616 6968 7236 7839 9648 10452 13936 14472 15678 20904 23517 28944 31356 37861 41808 47034 62712 75722 94068 113583 125424 151444 188136 227166 302888 340749 376272 454332 492193 605776 681498 908664 984386 1022247 1362996 1476579 1817328 1968772 2044494 2536687 2725992 2953158 3937544 4088988 4429737 5073374 5451984 5906316 7610061 7875088 8177976 8859474 10146748 11812632 13289211 15220122 16355952 17718948 20293496 22830183 23625264 26578422 30440244 32976931 35437896 40586992 45660366 53156844 60880488 65953862 68490549 70875792 91320732 98930793 106313688 121760976 131907724 136981098 182641464 197861586 212627376 263815448 273962196 296792379 365282928 395723172 527630896 547924392 593584758 791446344 890377137 1095848784 1187169516 1582892688 1780754274 2374339032 3561508548 4748678064 7123017096 14246034192