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114113222400 = 283525943397
BaseRepresentation
bin110101001000110101…
…1011001011100000000
3101220112202011022202110
41222101223121130000
53332200441104100
6124231202215320
711146555246332
oct1522153313400
9356482138673
10114113222400
1144438a36a71
121a148354540
13a9b7711608
1457475ab452
152e7d285250
hex1a91ad9700

114113222400 has 108 divisors (see below), whose sum is σ = 376597470872. Its totient is φ = 30430187520.

The previous prime is 114113222393. The next prime is 114113222417. The reversal of 114113222400 is 4222311411.

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, 2952499 + ... + 2990898.

Almost surely, 2114113222400 is an apocalyptic number.

114113222400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114113222400 is an abundant number, since it is smaller than the sum of its proper divisors (262484248472).

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

114113222400 is an equidigital number, since it uses as much as digits as its factorization.

114113222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5943426 (or 5943407 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 114113222400 its reverse (4222311411), we get a palindrome (118335533811).

The spelling of 114113222400 in words is "one hundred fourteen billion, one hundred thirteen million, two hundred twenty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 600 640 768 800 960 1200 1280 1600 1920 2400 3200 3840 4800 6400 9600 19200 5943397 11886794 17830191 23773588 29716985 35660382 47547176 59433970 71320764 89150955 95094352 118867940 142641528 148584925 178301910 190188704 237735880 285283056 297169850 356603820 380377408 445754775 475471760 570566112 594339700 713207640 760754816 891509550 950943520 1141132224 1188679400 1426415280 1521509632 1783019100 1901887040 2282264448 2377358800 2852830560 3566038200 3803774080 4564528896 4754717600 5705661120 7132076400 7607548160 9509435200 11411322240 14264152800 19018870400 22822644480 28528305600 38037740800 57056611200 114113222400