Search a number
-
+
31143332400 = 2435225952777
BaseRepresentation
bin11101000000010010…
…011000101000110000
32222101102200012120120
4131000102120220300
51002240143114100
622150153410240
72151521646315
oct350022305060
988342605516
1031143332400
1112231665644
126051a09980
132c2420834b
141716226d0c
15c241be0a0
hex740498a30

31143332400 has 60 divisors (see below), whose sum is σ = 99762478632. Its totient is φ = 8304888320.

The previous prime is 31143332351. The next prime is 31143332411. The reversal of 31143332400 is 423334113.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12975189 + ... + 12977588.

Almost surely, 231143332400 is an apocalyptic number.

31143332400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31143332400 is an abundant number, since it is smaller than the sum of its proper divisors (68619146232).

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

31143332400 is a wasteful number, since it uses less digits than its factorization.

31143332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25952798 (or 25952787 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 31143332400 its reverse (423334113), we get a palindrome (31566666513).

The spelling of 31143332400 in words is "thirty-one billion, one hundred forty-three million, three hundred thirty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 25952777 51905554 77858331 103811108 129763885 155716662 207622216 259527770 311433324 389291655 415244432 519055540 622866648 648819425 778583310 1038111080 1245733296 1297638850 1557166620 1946458275 2076222160 2595277700 3114333240 3892916550 5190555400 6228666480 7785833100 10381110800 15571666200 31143332400