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142054022430 = 23356724113257
BaseRepresentation
bin1000010001001100010…
…1000101110100011110
3111120122222201000211000
42010103011011310132
54311411312204210
6145131514411130
713156142160615
oct2042305056436
9446588630730
10142054022430
1155276879641
1223645730aa6
131051b2a2598
146c3834a87c
153a66205ac0
hex2113145d1e

142054022430 has 128 divisors (see below), whose sum is σ = 384742172160. Its totient is φ = 37288753920.

The previous prime is 142054022417. The next prime is 142054022447. The reversal of 142054022430 is 34220450241.

142054022430 is a `hidden beast` number, since 1 + 4 + 205 + 4 + 0 + 22 + 430 = 666.

142054022430 is digitally balanced in base 3, 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 142054022394 and 142054022403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43613362 + ... + 43616618.

It is an arithmetic number, because the mean of its divisors is an integer number (3005798220).

Almost surely, 2142054022430 is an apocalyptic number.

142054022430 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 142054022430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192371086080).

142054022430 is an abundant number, since it is smaller than the sum of its proper divisors (242688149730).

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

142054022430 is a wasteful number, since it uses less digits than its factorization.

142054022430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5751 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 142054022430 its reverse (34220450241), we get a palindrome (176274472671).

The spelling of 142054022430 in words is "one hundred forty-two billion, fifty-four million, twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 90 134 135 201 270 335 402 603 670 1005 1206 1809 2010 2411 3015 3257 3618 4822 6030 6514 7233 9045 9771 12055 14466 16285 18090 19542 21699 24110 29313 32570 36165 43398 48855 58626 65097 72330 87939 97710 108495 130194 146565 161537 175878 216990 218219 293130 323074 325485 436438 439695 484611 650970 654657 807685 879390 969222 1091095 1309314 1453833 1615370 1963971 2182190 2423055 2907666 3273285 3927942 4361499 4846110 5891913 6546570 7269165 7852627 8722998 9819855 11783826 14538330 15705254 19639710 21807495 23557881 29459565 39263135 43614990 47115762 58919130 70673643 78526270 117789405 141347286 212020929 235578810 353368215 424041858 526126009 706736430 1052252018 1060104645 1578378027 2120209290 2630630045 3156756054 4735134081 5261260090 7891890135 9470268162 14205402243 15783780270 23675670405 28410804486 47351340810 71027011215 142054022430