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14422144440 = 23351110925867
BaseRepresentation
bin11010110111010000…
…00111010110111000
31101020002210211212210
431123220013112320
5214014032110230
610343032335120
71020252130224
oct153350072670
941202724783
1014422144440
116130a19640
122965b444a0
13148ac049a2
149ab5a3784
1559621ceb0
hex35ba075b8

14422144440 has 64 divisors (see below), whose sum is σ = 47199749760. Its totient is φ = 3496277120.

The previous prime is 14422144393. The next prime is 14422144453. The reversal of 14422144440 is 4444122441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14422144398 and 14422144407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5461614 + ... + 5464253.

It is an arithmetic number, because the mean of its divisors is an integer number (737496090).

Almost surely, 214422144440 is an apocalyptic number.

14422144440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14422144440 is an abundant number, since it is smaller than the sum of its proper divisors (32777605320).

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

14422144440 is a wasteful number, since it uses less digits than its factorization.

14422144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10925892 (or 10925888 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 14422144440 its reverse (4444122441), we get a palindrome (18866266881).

The spelling of 14422144440 in words is "fourteen billion, four hundred twenty-two million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 10925867 21851734 32777601 43703468 54629335 65555202 87406936 109258670 120184537 131110404 163888005 218517340 240369074 262220808 327776010 360553611 437034680 480738148 600922685 655552020 721107222 961476296 1201845370 1311104040 1442214444 1802768055 2403690740 2884428888 3605536110 4807381480 7211072220 14422144440