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11431900000 = 2555114319
BaseRepresentation
bin10101010010110010…
…01111001101100000
31002111201010200122201
422221121033031200
5141403031300000
65130213142544
7553202355343
oct125131171540
932451120581
1011431900000
114937011744
12227062aa54
131102557991
147a63ba45a
1546d95496a
hex2a964f360

11431900000 has 72 divisors (see below), whose sum is σ = 28131636960. Its totient is φ = 4572720000.

The previous prime is 11431899943. The next prime is 11431900033. The reversal of 11431900000 is 913411.

It is a happy number.

It is a super-2 number, since 2×114319000002 (a number of 21 digits) contains 22 as substring.

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, 42841 + ... + 157159.

It is an arithmetic number, because the mean of its divisors is an integer number (390717180).

Almost surely, 211431900000 is an apocalyptic number.

11431900000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11431900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065818480).

11431900000 is an abundant number, since it is smaller than the sum of its proper divisors (16699736960).

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

11431900000 is an frugal number, since it uses more digits than its factorization.

11431900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114354 (or 114326 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The spelling of 11431900000 in words is "eleven billion, four hundred thirty-one million, nine hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 114319 228638 457276 571595 914552 1143190 1829104 2286380 2857975 3658208 4572760 5715950 9145520 11431900 14289875 18291040 22863800 28579750 45727600 57159500 71449375 91455200 114319000 142898750 228638000 285797500 357246875 457276000 571595000 714493750 1143190000 1428987500 2286380000 2857975000 5715950000 11431900000