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13140031140 = 22335145316747
BaseRepresentation
bin11000011110011010…
…01111011010100100
31020220202021202002000
430033031033122210
5203402321444030
610011512245300
7643423264455
oct141715173244
936822252060
1013140031140
115633228975
1226686a0830
1313153c0272
148c91bb12c
1551d8b2860
hex30f34f6a4

13140031140 has 96 divisors (see below), whose sum is σ = 40910674560. Its totient is φ = 3501387648.

The previous prime is 13140031139. The next prime is 13140031147. The reversal of 13140031140 is 4113004131.

13140031140 is a `hidden beast` number, since 1 + 314 + 0 + 0 + 311 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13140031147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 776247 + ... + 792993.

It is an arithmetic number, because the mean of its divisors is an integer number (426152860).

Almost surely, 213140031140 is an apocalyptic number.

13140031140 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 13140031140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20455337280).

13140031140 is an abundant number, since it is smaller than the sum of its proper divisors (27770643420).

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

13140031140 is a wasteful number, since it uses less digits than its factorization.

13140031140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18218 (or 18210 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13140031140 its reverse (4113004131), we get a palindrome (17253035271).

The spelling of 13140031140 in words is "thirteen billion, one hundred forty million, thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1453 2906 4359 5812 7265 8718 13077 14530 16747 17436 21795 26154 29060 33494 39231 43590 50241 52308 65385 66988 78462 83735 87180 100482 130770 150723 156924 167470 196155 200964 251205 261540 301446 334940 392310 452169 502410 602892 753615 784620 904338 1004820 1507230 1808676 2260845 3014460 4521690 9043380 24333391 48666782 73000173 97333564 121666955 146000346 219000519 243333910 292000692 365000865 438001038 486667820 657001557 730001730 876002076 1095002595 1314003114 1460003460 2190005190 2628006228 3285007785 4380010380 6570015570 13140031140