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145162423026 = 23329531919157
BaseRepresentation
bin1000011100110001011…
…0101100101011110010
3111212200121201010211000
42013030112230223302
54334243040014101
6150404154302430
713326155144205
oct2071426545362
9455617633730
10145162423026
1156621448a55
1224172727a16
13108c527c18a
1470510cd93c
153b9905d486
hex21cc5acaf2

145162423026 has 128 divisors (see below), whose sum is σ = 341820518400. Its totient is φ = 45592485120.

The previous prime is 145162423001. The next prime is 145162423027. The reversal of 145162423026 is 620324261541.

145162423026 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 624 + 2 + 3 + 0 + 26 = 666.

145162423026 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (145162423027) 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 63 ways as a sum of consecutive naturals, for example, 15848040 + ... + 15857196.

It is an arithmetic number, because the mean of its divisors is an integer number (2670472800).

Almost surely, 2145162423026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145162423026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170910259200).

145162423026 is an abundant number, since it is smaller than the sum of its proper divisors (196658095374).

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

145162423026 is a wasteful number, since it uses less digits than its factorization.

145162423026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9441 (or 9435 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 145162423026 its reverse (620324261541), we get a palindrome (765486684567).

The spelling of 145162423026 in words is "one hundred forty-five billion, one hundred sixty-two million, four hundred twenty-three thousand, twenty-six".

Divisors: 1 2 3 6 9 18 27 29 53 54 58 87 106 159 174 191 261 318 382 477 522 573 783 954 1146 1431 1537 1566 1719 2862 3074 3438 4611 5157 5539 9157 9222 10123 10314 11078 13833 16617 18314 20246 27471 27666 30369 33234 41499 49851 54942 60738 82413 82998 91107 99702 149553 164826 182214 247239 265553 273321 293567 299106 485321 494478 531106 546642 587134 796659 880701 970642 1455963 1593318 1748987 1761402 2389977 2642103 2911926 3497974 4367889 4779954 5246961 5284206 7169931 7926309 8735778 10493922 13103667 14074309 14339862 15740883 15852618 26207334 28148618 31481766 42222927 47222649 50720623 84445854 92696311 94445298 101441246 126668781 152161869 185392622 253337562 278088933 304323738 380006343 456485607 556177866 760012686 834266799 912971214 1369456821 1668533598 2502800397 2688193019 2738913642 5005600794 5376386038 8064579057 16129158114 24193737171 48387474342 72581211513 145162423026