Search a number
-
+
12840800140 = 2257711291831
BaseRepresentation
bin10111111010101111…
…10000111110001100
31020010220020020022101
423331113300332030
5202244221101030
65522102524444
7633131000050
oct137527607614
936126206271
1012840800140
11549a32a223
1225a4436724
1312984014bc
1489b567c60
155024a67ca
hex2fd5f0f8c

12840800140 has 48 divisors (see below), whose sum is σ = 31251999744. Its totient is φ = 4340548800.

The previous prime is 12840800131. The next prime is 12840800143. The reversal of 12840800140 is 4100804821.

It is a super-2 number, since 2×128408001402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12840800099 and 12840800108.

It is not an unprimeable number, because it can be changed into a prime (12840800143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635976 + ... + 655855.

It is an arithmetic number, because the mean of its divisors is an integer number (651083328).

Almost surely, 212840800140 is an apocalyptic number.

12840800140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12840800140 is an abundant number, since it is smaller than the sum of its proper divisors (18411199604).

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

12840800140 is a wasteful number, since it uses less digits than its factorization.

12840800140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291918 (or 1291916 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The spelling of 12840800140 in words is "twelve billion, eight hundred forty million, eight hundred thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1420 1988 2485 4970 9940 1291831 2583662 5167324 6459155 9042817 12918310 18085634 25836620 36171268 45214085 90428170 91720001 180856340 183440002 366880004 458600005 642040007 917200010 1284080014 1834400020 2568160028 3210200035 6420400070 12840800140