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14167420224 = 2631937910247
BaseRepresentation
bin11010011000111000…
…11010110101000000
31100120100111111221120
431030130122311000
5213003324421344
610301452552240
71011040041066
oct151434326500
940510444846
1014167420224
116010159561
1228b4782680
13144a1c9bb9
14985818036
1557dba4219
hex34c71ad40

14167420224 has 112 divisors (see below), whose sum is σ = 39565478400. Its totient is φ = 4461682176.

The previous prime is 14167420217. The next prime is 14167420229. The reversal of 14167420224 is 42202476141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14167420229) 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, 1377469 + ... + 1387715.

It is an arithmetic number, because the mean of its divisors is an integer number (353263200).

Almost surely, 214167420224 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 14167420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19782739200).

14167420224 is an abundant number, since it is smaller than the sum of its proper divisors (25398058176).

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

14167420224 is a wasteful number, since it uses less digits than its factorization.

14167420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10660 (or 10650 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

Adding to 14167420224 its reverse (42202476141), we get a palindrome (56369896365).

The spelling of 14167420224 in words is "fourteen billion, one hundred sixty-seven million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 379 456 608 758 912 1137 1216 1516 1824 2274 3032 3648 4548 6064 7201 9096 10247 12128 14402 18192 20494 21603 24256 28804 30741 36384 40988 43206 57608 61482 72768 81976 86412 115216 122964 163952 172824 194693 230432 245928 327904 345648 389386 460864 491856 584079 655808 691296 778772 983712 1168158 1382592 1557544 1967424 2336316 3115088 3883613 4672632 6230176 7767226 9345264 11650839 12460352 15534452 18690528 23301678 31068904 37381056 46603356 62137808 73788647 93206712 124275616 147577294 186413424 221365941 248551232 295154588 372826848 442731882 590309176 745653696 885463764 1180618352 1770927528 2361236704 3541855056 4722473408 7083710112 14167420224