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142233542352 = 24331129931301
BaseRepresentation
bin1000010001110111000…
…1111001111011010000
3111121010111111120212000
42010131301321323100
54312243241323402
6145201410234000
713163452106406
oct2043561717320
9447114446760
10142233542352
1155359143610
1223695885900
1310549538aa5
146c5411b476
153a76d66c1c
hex211dc79ed0

142233542352 has 80 divisors (see below), whose sum is σ = 445377773760. Its totient is φ = 43101072000.

The previous prime is 142233542263. The next prime is 142233542377. The reversal of 142233542352 is 253245332241.

142233542352 is a `hidden beast` number, since 1 + 4 + 223 + 3 + 5 + 423 + 5 + 2 = 666.

142233542352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14960899 + ... + 14970402.

It is an arithmetic number, because the mean of its divisors is an integer number (5567222172).

Almost surely, 2142233542352 is an apocalyptic number.

142233542352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142233542352 is an abundant number, since it is smaller than the sum of its proper divisors (303144231408).

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

142233542352 is a wasteful number, since it uses less digits than its factorization.

142233542352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29931329 (or 29931317 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 142233542352 its reverse (253245332241), we get a palindrome (395478874593).

The spelling of 142233542352 in words is "one hundred forty-two billion, two hundred thirty-three million, five hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 29931301 59862602 89793903 119725204 179587806 239450408 269381709 329244311 359175612 478900816 538763418 658488622 718351224 808145127 987732933 1077526836 1316977244 1436702448 1616290254 1975465866 2155053672 2633954488 2963198799 3232580508 3950931732 4310107344 5267908976 5926397598 6465161016 7901863464 8889596397 11852795196 12930322032 15803726928 17779192794 23705590392 35558385588 47411180784 71116771176 142233542352