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31143444400 = 2452233385157
BaseRepresentation
bin11101000000010010…
…110011111110110000
32222101102212220012201
4131000102303332300
51002240210210100
622150200032544
72151522623665
oct350022637660
988342786181
1031143444400
1112231731802
126051a62754
132c24247313
141716255a6c
15c241e236a
hex7404b3fb0

31143444400 has 60 divisors (see below), whose sum is σ = 78075284112. Its totient is φ = 11915749120.

The previous prime is 31143444391. The next prime is 31143444401. The reversal of 31143444400 is 444434113.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (31143444401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1683379 + ... + 1701778.

Almost surely, 231143444400 is an apocalyptic number.

It is an amenable number.

31143444400 is an abundant number, since it is smaller than the sum of its proper divisors (46931839712).

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

31143444400 is a wasteful number, since it uses less digits than its factorization.

31143444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385198 (or 3385187 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 31143444400 its reverse (444434113), we get a palindrome (31587878513).

The spelling of 31143444400 in words is "thirty-one billion, one hundred forty-three million, four hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 3385157 6770314 13540628 16925785 27081256 33851570 54162512 67703140 77858611 84628925 135406280 155717222 169257850 270812560 311434444 338515700 389293055 622868888 677031400 778586110 1245737776 1354062800 1557172220 1946465275 3114344440 3892930550 6228688880 7785861100 15571722200 31143444400