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145441551501 = 32531361224033
BaseRepresentation
bin1000011101110011111…
…1011111010010001101
3111220102001221100002200
42013130333133102031
54340331014122001
6150452005112113
713336114534641
oct2073477372215
9456361840080
10145441551501
1156754a67344
12242300b8639
131093b04cc5c
14707a1ccc21
153bb37e8086
hex21dcfdf48d

145441551501 has 24 divisors (see below), whose sum is σ = 214204284216. Its totient is φ = 95061258240.

The previous prime is 145441551401. The next prime is 145441551517. The reversal of 145441551501 is 105155144541.

145441551501 is a `hidden beast` number, since 1 + 4 + 54 + 4 + 1 + 551 + 50 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6017725476 + 139423826025 = 77574^2 + 373395^2 .

It is not a de Polignac number, because 145441551501 - 211 = 145441549453 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145441551551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537181 + ... + 761213.

It is an arithmetic number, because the mean of its divisors is an integer number (8925178509).

Almost surely, 2145441551501 is an apocalyptic number.

It is an amenable number.

145441551501 is a deficient number, since it is larger than the sum of its proper divisors (68762732715).

145441551501 is a wasteful number, since it uses less digits than its factorization.

145441551501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225453 (or 225450 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 145441551501 in words is "one hundred forty-five billion, four hundred forty-one million, five hundred fifty-one thousand, five hundred one".

Divisors: 1 3 9 53 159 477 1361 4083 12249 72133 216399 224033 649197 672099 2016297 11873749 35621247 106863741 304908913 914726739 2744180217 16160172389 48480517167 145441551501