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142054025310 = 232523396717299
BaseRepresentation
bin1000010001001100010…
…1000110100001011110
3111120122222201011202200
42010103011012201132
54311411312302220
6145131514432330
713156142202201
oct2042305064136
9446588634680
10142054025310
115527688081a
12236457326a6
131051b2a39a2
146c3834b938
153a66206890
hex211314685e

142054025310 has 96 divisors (see below), whose sum is σ = 385518182400. Its totient is φ = 36222842304.

The previous prime is 142054025299. The next prime is 142054025317. The reversal of 142054025310 is 13520450241.

142054025310 is a `hidden beast` number, since 1 + 4 + 205 + 402 + 53 + 1 + 0 = 666.

It is a super-2 number, since 2×1420540253102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142054025317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8203041 + ... + 8220339.

It is an arithmetic number, because the mean of its divisors is an integer number (4015814400).

Almost surely, 2142054025310 is an apocalyptic number.

142054025310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142054025310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192759091200).

142054025310 is an abundant number, since it is smaller than the sum of its proper divisors (243464157090).

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

142054025310 is a wasteful number, since it uses less digits than its factorization.

142054025310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21302 (or 21299 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 142054025310 its reverse (13520450241), we get a palindrome (155574475551).

It can be divided in two parts, 1420540 and 25310, that added together give a triangular number (1445850 = T1700).

The spelling of 142054025310 in words is "one hundred forty-two billion, fifty-four million, twenty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 3967 7934 11901 17299 19835 23802 34598 35703 39670 51897 59505 71406 86495 91241 103794 119010 155691 172990 178515 182482 259485 273723 311382 357030 397877 456205 518970 547446 778455 795754 821169 912410 1193631 1368615 1556910 1642338 1989385 2387262 2737230 3580893 3978770 4105845 5968155 7161786 8211690 11936310 17904465 35808930 68625133 137250266 205875399 343125665 411750798 617626197 686251330 1029376995 1235252394 1578378059 2058753990 3088130985 3156756118 4735134177 6176261970 7891890295 9470268354 14205402531 15783780590 23675670885 28410805062 47351341770 71027012655 142054025310