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145401326406 = 23278571346533
BaseRepresentation
bin1000011101101010011…
…0000010101101000110
3111220022021020200122100
42013122212002231012
54340240214421111
6150444011012530
713335115611420
oct2073246025506
9456267220570
10145401326406
1156734292666
122421a73a146
1310932907b1b
147074b1b810
153baeeee756
hex21da982b46

145401326406 has 48 divisors (see below), whose sum is σ = 360461765664. Its totient is φ = 41494730112.

The previous prime is 145401326387. The next prime is 145401326449. The reversal of 145401326406 is 604623104541.

145401326406 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 0 + 1 + 3 + 2 + 640 + 6 = 666.

It is a super-2 number, since 2×1454013264062 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565285 + ... + 781248.

It is an arithmetic number, because the mean of its divisors is an integer number (7509620118).

Almost surely, 2145401326406 is an apocalyptic number.

145401326406 is an abundant number, since it is smaller than the sum of its proper divisors (215060439258).

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

145401326406 is a wasteful number, since it uses less digits than its factorization.

145401326406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347405 (or 1347402 counting only the distinct ones).

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

The spelling of 145401326406 in words is "one hundred forty-five billion, four hundred one million, three hundred twenty-six thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 857 1714 2571 5142 5999 7713 11998 15426 17997 35994 53991 107982 1346533 2693066 4039599 8079198 9425731 12118797 18851462 24237594 28277193 56554386 84831579 169663158 1153978781 2307957562 3461936343 6923872686 8077851467 10385809029 16155702934 20771618058 24233554401 48467108802 72700663203 145401326406