Search a number
-
+
13223442141152 = 251922939472019
BaseRepresentation
bin1100000001101101001010…
…0100100100111111100000
31201211011000102022100222222
43000123102210210333200
53213123102142004102
644042433201050212
72533235136433265
oct300332244447740
951734012270888
1013223442141152
114239037399571
121596960026968
1374bc71841319
1433a03760926c
1517de8ab55aa2
hexc06d2924fe0

13223442141152 has 72 divisors (see below), whose sum is σ = 28423406881800. Its totient is φ = 6047744709888.

The previous prime is 13223442141071. The next prime is 13223442141163. The reversal of 13223442141152 is 25114124432231.

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 11 ways as a sum of consecutive naturals, for example, 19401002 + ... + 20071017.

It is an arithmetic number, because the mean of its divisors is an integer number (394769540025).

Almost surely, 213223442141152 is an apocalyptic number.

It is an amenable number.

13223442141152 is an abundant number, since it is smaller than the sum of its proper divisors (15199964740648).

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

13223442141152 is a wasteful number, since it uses less digits than its factorization.

13223442141152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39472096 (or 39472069 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

Adding to 13223442141152 its reverse (25114124432231), we get a palindrome (38337566573383).

The spelling of 13223442141152 in words is "thirteen trillion, two hundred twenty-three billion, four hundred forty-two million, one hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 29 32 38 58 76 116 152 232 304 361 464 551 608 722 928 1102 1444 2204 2888 4408 5776 8816 10469 11552 17632 20938 41876 83752 167504 335008 39472019 78944038 157888076 315776152 631552304 749968361 1144688551 1263104608 1499936722 2289377102 2999873444 4578754204 5999746888 9157508408 11999493776 14249398859 18315016816 21749082469 23998987552 28498797718 36630033632 43498164938 56997595436 86996329876 113995190872 173992659752 227990381744 347985319504 413232566911 455980763488 695970639008 826465133822 1652930267644 3305860535288 6611721070576 13223442141152