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142401311211432 = 23371365202065573
BaseRepresentation
bin100000011000001101100011…
…100100011111111110101000
3200200012102200012221012111110
4200120031203210133332220
5122131100341132231212
61222510132000030320
741665104145562040
oct4030154344377650
9620172605835443
10142401311211432
1141412069869a39
1213b7a3b30023a0
13615c503145150
14272439013c720
15116e2b9069a3c
hex81836391ffa8

142401311211432 has 64 divisors (see below), whose sum is σ = 438157880657280. Its totient is φ = 37556389769472.

The previous prime is 142401311211431. The next prime is 142401311211433. The reversal of 142401311211432 is 234112113104241.

It is an interprime number because it is at equal distance from previous prime (142401311211431) and next prime (142401311211433).

It is a self number, because there is not a number n which added to its sum of digits gives 142401311211432.

It is not an unprimeable number, because it can be changed into a prime (142401311211431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32601030603 + ... + 32601034970.

It is an arithmetic number, because the mean of its divisors is an integer number (6846216885270).

Almost surely, 2142401311211432 is an apocalyptic number.

142401311211432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142401311211432 is an abundant number, since it is smaller than the sum of its proper divisors (295756569445848).

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

142401311211432 is a wasteful number, since it uses less digits than its factorization.

142401311211432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65202065602 (or 65202065598 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 142401311211432 its reverse (234112113104241), we get a palindrome (376513424315673).

The spelling of 142401311211432 in words is "one hundred forty-two trillion, four hundred one billion, three hundred eleven million, two hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 65202065573 130404131146 195606196719 260808262292 391212393438 456414459011 521616524584 782424786876 847626852449 912828918022 1369243377033 1564849573752 1695253704898 1825657836044 2542880557347 2738486754066 3390507409796 3651315672088 5085761114694 5476973508132 5933387967143 6781014819592 10171522229388 10953947016264 11866775934286 17800163901429 20343044458776 23733551868572 35600327802858 47467103737144 71200655605716 142401311211432