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1345641500140 = 2257231090338329
BaseRepresentation
bin10011100101001110011…
…110111100110111101100
311202122100001212220001021
4103211032132330313230
5134021333211001030
62510102411223524
7166135152012430
oct23451636746754
94678301786037
101345641500140
11479757600843
12198964747ba4
1399b7cba4762
14491b50c49c0
152500ad2c97a
hex1394e7bcdec

1345641500140 has 96 divisors (see below), whose sum is σ = 3370351380480. Its totient is φ = 441251559936.

The previous prime is 1345641500089. The next prime is 1345641500149. The reversal of 1345641500140 is 410051465431.

It is a super-4 number, since 4×13456415001404 (a number of 50 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1345641500096 and 1345641500105.

It is not an unprimeable number, because it can be changed into a prime (1345641500149) 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, 35088496 + ... + 35126824.

It is an arithmetic number, because the mean of its divisors is an integer number (35107826880).

Almost surely, 21345641500140 is an apocalyptic number.

1345641500140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345641500140 is an abundant number, since it is smaller than the sum of its proper divisors (2024709880340).

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

1345641500140 is a wasteful number, since it uses less digits than its factorization.

1345641500140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49271 (or 49269 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 1345641500140 its reverse (410051465431), we get a palindrome (1755692965571).

The spelling of 1345641500140 in words is "one trillion, three hundred forty-five billion, six hundred forty-one million, five hundred thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 10903 21806 38329 43612 54515 76321 76658 109030 152642 153316 191645 218060 250769 268303 305284 381605 383290 501538 536606 763210 766580 881567 1003076 1073212 1253845 1341515 1526420 1755383 1763134 2507690 2683030 3510766 3526268 4407835 5015380 5366060 6170969 7021532 8776915 8815670 12341938 17553830 17631340 24683876 30854845 35107660 61709690 123419380 417901087 835802174 1671604348 2089505435 2925307609 4179010870 5850615218 8358021740 9611725001 11701230436 14626538045 19223450002 29253076090 38446900004 48058625005 58506152180 67282075007 96117250010 134564150014 192234500020 269128300028 336410375035 672820750070 1345641500140