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145123343014452 = 223111938816465917
BaseRepresentation
bin100000111111110100101001…
…010011110001101000110100
3201000211122201022000000012220
4200333310221103301220310
5123010200101302430302
61232352424324242340
742365546504260365
oct4077645123615064
9630748638000186
10145123343014452
1142271511857090
1214339a61b403b0
1362c90c3451c8a
1427ba015d91b6c
1511b9ed04114bc
hex83fd294f1a34

145123343014452 has 96 divisors (see below), whose sum is σ = 371740419840384. Its totient is φ = 43699246694400.

The previous prime is 145123343014439. The next prime is 145123343014469. The reversal of 145123343014452 is 254410343321541.

145123343014452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19211398 + ... + 25677314.

It is an arithmetic number, because the mean of its divisors is an integer number (3872296040004).

Almost surely, 2145123343014452 is an apocalyptic number.

145123343014452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145123343014452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185870209920192).

145123343014452 is an abundant number, since it is smaller than the sum of its proper divisors (226617076825932).

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

145123343014452 is a wasteful number, since it uses less digits than its factorization.

145123343014452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6467009 (or 6467007 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 145123343014452 its reverse (254410343321541), we get a palindrome (399533686335993).

The spelling of 145123343014452 in words is "one hundred forty-five trillion, one hundred twenty-three billion, three hundred forty-three million, fourteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 193 386 579 772 881 1158 1762 2123 2316 2643 3524 4246 5286 6369 8492 9691 10572 12738 19382 25476 29073 38764 58146 116292 170033 340066 510099 680132 1020198 1870363 2040396 3740726 5611089 6465917 7481452 11222178 12931834 19397751 22444356 25863668 38795502 71125087 77591004 142250174 213375261 284500348 426750522 853501044 1247921981 2495843962 3743765943 4991687924 5696472877 7487531886 11392945754 13727141791 14975063772 17089418631 22785891508 27454283582 34178837262 41181425373 54908567164 62661201647 68357674524 82362850746 125322403294 164725701492 187983604941 250644806588 375967209882 751934419764 1099419265261 2198838530522 3298257795783 4397677061044 6596515591566 12093611917871 13193031183132 24187223835742 36280835753613 48374447671484 72561671507226 145123343014452