Search a number
-
+
145223511224112 = 2433336165535241
BaseRepresentation
bin100001000001010001111011…
…110011001010111100110000
3201001012020021012011021202000
4201001101323303022330300
5123013320222333132422
61232510432100454000
742406023663100146
oct4101217363127460
9631166235137660
10145223511224112
11422aaa44131632
12143553580aa300
136305697a67b59
1427c0bd94bb596
1511bc8e42c5cac
hex84147bccaf30

145223511224112 has 40 divisors (see below), whose sum is σ = 416845263700080. Its totient is φ = 48407837074560.

The previous prime is 145223511224087. The next prime is 145223511224149. The reversal of 145223511224112 is 211422115322541.

145223511224112 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 2 + 3 + 511 + 2 + 24 + 112 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168082767189 + ... + 168082768052.

It is an arithmetic number, because the mean of its divisors is an integer number (10421131592502).

Almost surely, 2145223511224112 is an apocalyptic number.

145223511224112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145223511224112 is an abundant number, since it is smaller than the sum of its proper divisors (271621752475968).

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

145223511224112 is a wasteful number, since it uses less digits than its factorization.

145223511224112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336165535258 (or 336165535246 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

Adding to 145223511224112 its reverse (211422115322541), we get a palindrome (356645626546653).

The spelling of 145223511224112 in words is "one hundred forty-five trillion, two hundred twenty-three billion, five hundred eleven million, two hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 336165535241 672331070482 1008496605723 1344662140964 2016993211446 2689324281928 3025489817169 4033986422892 5378648563856 6050979634338 8067972845784 9076469451507 12101959268676 16135945691568 18152938903014 24203918537352 36305877806028 48407837074704 72611755612056 145223511224112