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145401326163 = 32195914411867
BaseRepresentation
bin1000011101101010011…
…0000010101001010011
3111220022021020200022100
42013122212002221103
54340240214414123
6150444011011443
713335115610622
oct2073246025123
9456267220270
10145401326163
1156734292465
122421a739b83
1310932907992
147074b1b6b9
153baeeee643
hex21da982a53

145401326163 has 24 divisors (see below), whose sum is σ = 224825140800. Its totient is φ = 90275928624.

The previous prime is 145401326159. The next prime is 145401326167. The reversal of 145401326163 is 361623104541.

145401326163 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 0 + 1 + 32 + 616 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (145401326159) and next prime (145401326167).

It is not a de Polignac number, because 145401326163 - 22 = 145401326159 is a prime.

It is a super-2 number, since 2×1454013261632 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145401326167) by changing a digit.

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, 7195845 + ... + 7216022.

It is an arithmetic number, because the mean of its divisors is an integer number (9367714200).

Almost surely, 2145401326163 is an apocalyptic number.

145401326163 is a deficient number, since it is larger than the sum of its proper divisors (79423814637).

145401326163 is a wasteful number, since it uses less digits than its factorization.

145401326163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14411951 (or 14411948 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

It can be divided in two parts, 14540 and 1326163, that added together give a triangular number (1340703 = T1637).

The spelling of 145401326163 in words is "one hundred forty-five billion, four hundred one million, three hundred twenty-six thousand, one hundred sixty-three".

Divisors: 1 3 9 19 57 59 171 177 531 1121 3363 10089 14411867 43235601 129706803 273825473 821476419 850300153 2464429257 2550900459 7652701377 16155702907 48467108721 145401326163