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44422420402400 = 2552138140208563
BaseRepresentation
bin10100001100110111001101…
…00101101001000011100000
312211021202000212010112101112
422012123212211221003200
521310304104110334100
6234251213405322452
712233261663164415
oct1206334645510340
9184252025115345
1044422420402400
1113177496255217
124b95442866428
131ba3029989411
14ad80b151410c
155207e0a92b35
hex2866e69690e0

44422420402400 has 72 divisors (see below), whose sum is σ = 108524763829944. Its totient is φ = 17756100979200.

The previous prime is 44422420402351. The next prime is 44422420402421. The reversal of 44422420402400 is 420402422444.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18999482 + ... + 21209081.

It is an arithmetic number, because the mean of its divisors is an integer number (1507288386527).

Almost surely, 244422420402400 is an apocalyptic number.

44422420402400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44422420402400 is an abundant number, since it is smaller than the sum of its proper divisors (64102343427544).

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

44422420402400 is a wasteful number, since it uses less digits than its factorization.

44422420402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40209964 (or 40209951 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 44422420402400 its reverse (420402422444), we get a palindrome (44842822824844).

The spelling of 44422420402400 in words is "forty-four trillion, four hundred twenty-two billion, four hundred twenty million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1381 2762 5524 6905 11048 13810 22096 27620 34525 44192 55240 69050 110480 138100 220960 276200 552400 1104800 40208563 80417126 160834252 201042815 321668504 402085630 643337008 804171260 1005214075 1286674016 1608342520 2010428150 3216685040 4020856300 6433370080 8041712600 16083425200 32166850400 55528025503 111056051006 222112102012 277640127515 444224204024 555280255030 888448408048 1110560510060 1388200637575 1776896816096 2221121020120 2776401275150 4442242040240 5552802550300 8884484080480 11105605100600 22211210201200 44422420402400