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14220400104 = 23323117935593
BaseRepresentation
bin11010011111001101…
…00001010111101000
31100201001012011200100
431033212201113220
5213110410300404
610311024305400
71012252256301
oct151746412750
940631164610
1014220400104
116038055089
12290a472260
131458189741
1498c8897a8
1558366bd39
hex34f9a15e8

14220400104 has 96 divisors (see below), whose sum is σ = 39979180800. Its totient is φ = 4561470720.

The previous prime is 14220400099. The next prime is 14220400127. The reversal of 14220400104 is 40100402241.

14220400104 is a `hidden beast` number, since 142 + 20 + 400 + 104 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381732 + ... + 417324.

It is an arithmetic number, because the mean of its divisors is an integer number (416449800).

Almost surely, 214220400104 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 14220400104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19989590400).

14220400104 is an abundant number, since it is smaller than the sum of its proper divisors (25758780696).

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

14220400104 is a wasteful number, since it uses less digits than its factorization.

14220400104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35815 (or 35808 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14220400104 its reverse (40100402241), we get a palindrome (54320802345).

The spelling of 14220400104 in words is "fourteen billion, two hundred twenty million, four hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 179 186 248 279 358 372 537 558 716 744 1074 1116 1432 1611 2148 2232 3222 4296 5549 6444 11098 12888 16647 22196 33294 35593 44392 49941 66588 71186 99882 106779 133176 142372 199764 213558 284744 320337 399528 427116 640674 854232 1103383 1281348 2206766 2562696 3310149 4413532 6371147 6620298 8827064 9930447 12742294 13240596 19113441 19860894 25484588 26481192 38226882 39721788 50969176 57340323 76453764 79443576 114680646 152907528 197505557 229361292 395011114 458722584 592516671 790022228 1185033342 1580044456 1777550013 2370066684 3555100026 4740133368 7110200052 14220400104