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145432242522 = 23273173950383
BaseRepresentation
bin1000011101110001101…
…1111110100101011010
3111220101102102101120200
42013130123332211122
54340321123230042
6150451033403030
713335642444030
oct2073433764532
9456342371520
10145432242522
115674a789376
1224228b69476
1310939140a98
147078c88550
153bb2aa9c4c
hex21dc6fe95a

145432242522 has 96 divisors (see below), whose sum is σ = 372245053440. Its totient is φ = 40156469280.

The previous prime is 145432242521. The next prime is 145432242541. The reversal of 145432242522 is 225242234541.

145432242522 is a `hidden beast` number, since 1 + 4 + 543 + 22 + 42 + 52 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (145432242521) 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, 2861343 + ... + 2911725.

It is an arithmetic number, because the mean of its divisors is an integer number (3877552640).

Almost surely, 2145432242522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145432242522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186122526720).

145432242522 is an abundant number, since it is smaller than the sum of its proper divisors (226812810918).

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

145432242522 is a wasteful number, since it uses less digits than its factorization.

145432242522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51168 (or 51165 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The spelling of 145432242522 in words is "one hundred forty-five billion, four hundred thirty-two million, two hundred forty-two thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 739 1302 1478 1953 2217 3906 4434 5173 6651 10346 13302 15519 22909 31038 45818 46557 50383 68727 93114 100766 137454 151149 160363 206181 302298 320726 352681 412362 453447 481089 705362 906894 962178 1058043 1443267 1561873 2116086 2886534 3123746 3174129 4685619 6348258 9371238 10933111 14056857 21866222 28113714 32799333 37233037 65598666 74466074 98397999 111699111 196795998 223398222 260631259 335097333 521262518 670194666 781893777 1154224147 1563787554 2308448294 2345681331 3462672441 4691362662 6925344882 8079569029 10388017323 16159138058 20776034646 24238707087 48477414174 72716121261 145432242522