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145423040031126 = 232111356496907549
BaseRepresentation
bin100001000100001011110000…
…101001001010100110010110
3201001220022021200210212222100
4201010023300221022212112
5123030102341221444001
61233142231115342530
742426316333006524
oct4104136051124626
9631808250725870
10145423040031126
1142377623a21540
1214387b61a51a46
13631b445579bc0
1427ca726b85314
1511c2bc11c2586
hex8442f0a4a996

145423040031126 has 48 divisors (see below), whose sum is σ = 370167738267600. Its totient is φ = 40677773434560.

The previous prime is 145423040031119. The next prime is 145423040031233. The reversal of 145423040031126 is 621130040324541.

145423040031126 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 230 + 400 + 3 + 1 + 12 + 6 = 666.

It is a super-2 number, since 2×1454230400311262 (a number of 29 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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28248451201 + ... + 28248456348.

It is an arithmetic number, because the mean of its divisors is an integer number (7711827880575).

Almost surely, 2145423040031126 is an apocalyptic number.

145423040031126 is an abundant number, since it is smaller than the sum of its proper divisors (224744698236474).

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

145423040031126 is a wasteful number, since it uses less digits than its factorization.

145423040031126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56496907581 (or 56496907578 counting only the distinct ones).

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

Adding to 145423040031126 its reverse (621130040324541), we get a palindrome (766553080355667).

The spelling of 145423040031126 in words is "one hundred forty-five trillion, four hundred twenty-three billion, forty million, thirty-one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 56496907549 112993815098 169490722647 338981445294 508472167941 621465983039 734459798137 1016944335882 1242931966078 1468919596274 1864397949117 2203379394411 3728795898234 4406758788822 5593193847351 6610138183233 8079057779507 11186387694702 13220276366466 16158115559014 24237173338521 48474346677042 72711520015563 145423040031126