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145252006221231 = 32713473773465467
BaseRepresentation
bin100001000001101100011110…
…001110111101010110101111
3201001021221211001112010021200
4201001230132032331112233
5123014302102043034411
61232531503411300543
742411053056423410
oct4101543616752657
9631257731463250
10145252006221231
1142311036888728
121435a98abaa753
1363082893a87b0
1427c233dabd807
1511bd510c17e56
hex841b1e3bd5af

145252006221231 has 48 divisors (see below), whose sum is σ = 263719954627584. Its totient is φ = 74986305740352.

The previous prime is 145252006221209. The next prime is 145252006221233. The reversal of 145252006221231 is 132122600252541.

145252006221231 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 5 + 2 + 0 + 0 + 622 + 1 + 23 + 1 = 666.

It is not a de Polignac number, because 145252006221231 - 27 = 145252006221103 is a prime.

It is a super-2 number, since 2×1452520062212312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145252006221233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1886694241 + ... + 1886771226.

It is an arithmetic number, because the mean of its divisors is an integer number (5494165721408).

Almost surely, 2145252006221231 is an apocalyptic number.

145252006221231 is a deficient number, since it is larger than the sum of its proper divisors (118467948406353).

145252006221231 is a wasteful number, since it uses less digits than its factorization.

145252006221231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3773465540 (or 3773465537 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 145252006221231 its reverse (132122600252541), we get a palindrome (277374606473772).

The spelling of 145252006221231 in words is "one hundred forty-five trillion, two hundred fifty-two billion, six million, two hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 3 7 9 13 21 39 47 63 91 117 141 273 329 423 611 819 987 1833 2961 4277 5499 12831 38493 3773465467 11320396401 26414258269 33961189203 49055051071 79242774807 147165153213 177352876949 237728324421 343385357497 441495459639 532058630847 1030156072491 1241470138643 1596175892541 2305587400337 3090468217473 3724410415929 6916762201011 11173231247787 16139111802359 20750286603033 48417335407077 145252006221231