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142920591264 = 2534115012647
BaseRepresentation
bin1000010100011010111…
…0110010011110100000
3111122220101022021210000
42011012232302132200
54320200132410024
6145353512140000
713216463660433
oct2050656623640
9448811267700
10142920591264
1155680a47630
1223847997600
13106289922c9
146cbb48381a
153ab732bcc9
hex2146bb27a0

142920591264 has 120 divisors (see below), whose sum is σ = 458536988448. Its totient is φ = 43309261440.

The previous prime is 142920591257. The next prime is 142920591269. The reversal of 142920591264 is 462195029241.

142920591264 is a `hidden beast` number, since 1 + 429 + 205 + 9 + 12 + 6 + 4 = 666.

142920591264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (142920591269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2477812 + ... + 2534835.

Almost surely, 2142920591264 is an apocalyptic number.

It is an amenable number.

142920591264 is an abundant number, since it is smaller than the sum of its proper divisors (315616397184).

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

142920591264 is a wasteful number, since it uses less digits than its factorization.

142920591264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012680 (or 5012663 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 142920591264 in words is "one hundred forty-two billion, nine hundred twenty million, five hundred ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 14256 28512 5012647 10025294 15037941 20050588 30075882 40101176 45113823 55139117 60151764 80202352 90227646 110278234 120303528 135341469 160404704 165417351 180455292 220556468 240607056 270682938 330834702 360910584 406024407 441112936 481214112 496252053 541365876 661669404 721821168 812048814 882225872 992504106 1082731752 1323338808 1443642336 1488756159 1624097628 1764451744 1985008212 2165463504 2646677616 2977512318 3248195256 3970016424 4330927008 4466268477 5293355232 5955024636 6496390512 7940032848 8932536954 11910049272 12992781024 15880065696 17865073908 23820098544 35730147816 47640197088 71460295632 142920591264