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14400341120 = 275112045503
BaseRepresentation
bin11010110100101001…
…11100010010000000
31101011120210010100102
431122110330102000
5213442441403440
610340533141532
71016565610544
oct153224742200
941146703312
1014400341120
11611a687470
12295a78a8a8
13148653c809
149a8729a24
15594362b15
hex35a53c480

14400341120 has 64 divisors (see below), whose sum is σ = 37555453440. Its totient is φ = 5236485120.

The previous prime is 14400341093. The next prime is 14400341141. The reversal of 14400341120 is 2114300441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14400341092 and 14400341101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1015712 + ... + 1029791.

It is an arithmetic number, because the mean of its divisors is an integer number (586803960).

Almost surely, 214400341120 is an apocalyptic number.

14400341120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14400341120 is an abundant number, since it is smaller than the sum of its proper divisors (23155112320).

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

14400341120 is a wasteful number, since it uses less digits than its factorization.

14400341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045533 (or 2045521 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14400341120 its reverse (2114300441), we get a palindrome (16514641561).

The spelling of 14400341120 in words is "fourteen billion, four hundred million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 2045503 4091006 8182012 10227515 16364024 20455030 22500533 32728048 40910060 45001066 65456096 81820120 90002132 112502665 130912192 163640240 180004264 225005330 261824384 327280480 360008528 450010660 654560960 720017056 900021320 1309121920 1440034112 1800042640 2880068224 3600085280 7200170560 14400341120