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145441444443232 = 25717187120413499
BaseRepresentation
bin100001000100011100111001…
…101000011011010001100000
3201001222001210022221220010011
4201010130321220123101200
5123030403034234140412
61233154513250014304
742430540401640630
oct4104347150332140
9631861708856104
10145441444443232
1142384408812783
121438b639577394
1363200b9505092
1427cb5911a46c0
1511c33ebd117a7
hex844739a1b460

145441444443232 has 96 divisors (see below), whose sum is σ = 346678061184000. Its totient is φ = 58634098575360.

The previous prime is 145441444443223. The next prime is 145441444443233. The reversal of 145441444443232 is 232344444144541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145441444443233) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3081982 + ... + 17331517.

It is an arithmetic number, because the mean of its divisors is an integer number (3611229804000).

Almost surely, 2145441444443232 is an apocalyptic number.

It is an amenable number.

145441444443232 is an abundant number, since it is smaller than the sum of its proper divisors (201236616740768).

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

145441444443232 is a wasteful number, since it uses less digits than its factorization.

145441444443232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20415404 (or 20415396 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 49.

Adding to 145441444443232 its reverse (232344444144541), we get a palindrome (377785888587773).

The spelling of 145441444443232 in words is "one hundred forty-five trillion, four hundred forty-one billion, four hundred forty-four million, four hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1871 1904 3742 3808 7484 13097 14968 26194 29936 31807 52388 59872 63614 104776 127228 209552 222649 254456 419104 445298 508912 890596 1017824 1781192 3562384 7124768 20413499 40826998 81653996 142894493 163307992 285788986 326615984 347029483 571577972 653231968 694058966 1143155944 1388117932 2286311888 2429206381 2776235864 4572623776 4858412762 5552471728 9716825524 11104943456 19433651048 38193656629 38867302096 76387313258 77734604192 152774626516 267355596403 305549253032 534711192806 611098506064 649292162693 1069422385612 1222197012128 1298584325386 2138844771224 2597168650772 4277689542448 4545045138851 5194337301544 8555379084896 9090090277702 10388674603088 18180180555404 20777349206176 36360361110808 72720722221616 145441444443232