Search a number
-
+
10140133013142 = 23111938892079257
BaseRepresentation
bin1001001110001110111100…
…0001101011011010010110
31022220101110022012220022020
42103203233001223122112
52312113443022410032
633322151321514010
72064412643324106
oct223435701533226
938811408186266
1010140133013142
11325a451807980
121179286042906
1358729744c602
14270adc2a3206
15128b7c68ab2c
hex938ef06b696

10140133013142 has 64 divisors (see below), whose sum is σ = 23294343225600. Its totient is φ = 2910293038080.

The previous prime is 10140133013107. The next prime is 10140133013167. The reversal of 10140133013142 is 24131033104101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3837178 + ... + 5916434.

It is an arithmetic number, because the mean of its divisors is an integer number (363974112900).

Almost surely, 210140133013142 is an apocalyptic number.

10140133013142 is an abundant number, since it is smaller than the sum of its proper divisors (13154210212458).

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

10140133013142 is a wasteful number, since it uses less digits than its factorization.

10140133013142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083181.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10140133013142 its reverse (24131033104101), we get a palindrome (34271166117243).

The spelling of 10140133013142 in words is "ten trillion, one hundred forty billion, one hundred thirty-three million, thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 3889 7778 11667 23334 42779 73891 85558 128337 147782 221673 256674 443346 812801 1625602 2079257 2438403 4158514 4876806 6237771 12475542 22871827 39505883 45743654 68615481 79011766 118517649 137230962 237035298 434564713 869129426 1303694139 2607388278 8086230473 16172460946 24258691419 48517382838 88948535203 153638378987 177897070406 266845605609 307276757974 460915136961 533691211218 921830273922 1690022168857 3380044337714 5070066506571 10140133013142