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14225450440152 = 23372326831372171
BaseRepresentation
bin1100111100000001111011…
…1010111001010111011000
31212100221101002200221210110
43033000132322321113120
53331032210303041102
650131025352244320
72665516631440410
oct317003672712730
955327332627713
1014225450440152
114594a85a0a1a6
121718ba26a06a0
137c25b9bcb763
1437273066b640
1519a08386d86c
hexcf01eeb95d8

14225450440152 has 128 divisors (see below), whose sum is σ = 42427119144960. Its totient is φ = 3886248896640.

The previous prime is 14225450440051. The next prime is 14225450440169. The reversal of 14225450440152 is 25104405452241.

It is a self number, because there is not a number n which added to its sum of digits gives 14225450440152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9681027 + ... + 11053197.

It is an arithmetic number, because the mean of its divisors is an integer number (331461868320).

Almost surely, 214225450440152 is an apocalyptic number.

14225450440152 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 14225450440152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21213559572480).

14225450440152 is an abundant number, since it is smaller than the sum of its proper divisors (28201668704808).

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

14225450440152 is a wasteful number, since it uses less digits than its factorization.

14225450440152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374893 (or 1374889 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 39.

Adding to 14225450440152 its reverse (25104405452241), we get a palindrome (39329855892393).

The spelling of 14225450440152 in words is "fourteen trillion, two hundred twenty-five billion, four hundred fifty million, four hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 2683 3864 5366 8049 10732 16098 18781 21464 32196 37562 56343 61709 64392 75124 112686 123418 150248 185127 225372 246836 370254 431963 450744 493672 740508 863926 1295889 1372171 1481016 1727852 2591778 2744342 3455704 4116513 5183556 5488684 8233026 9605197 10367112 10977368 16466052 19210394 28815591 31559933 32932104 38420788 57631182 63119866 76841576 94679799 115262364 126239732 189359598 220919531 230524728 252479464 378719196 441839062 662758593 757438392 883678124 1325517186 1767356248 2651034372 3681534793 5302068744 7363069586 11044604379 14726139172 22089208758 25770743551 29452278344 44178417516 51541487102 77312230653 84675300239 88356835032 103082974204 154624461306 169350600478 206165948408 254025900717 309248922612 338701200956 508051801434 592727101673 618497845224 677402401912 1016103602868 1185454203346 1778181305019 2032207205736 2370908406692 3556362610038 4741816813384 7112725220076 14225450440152