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145033012240032 = 2537544339651467
BaseRepresentation
bin100000111110100000100001…
…001011001101111010100000
3201000112000112222201012220010
4200332200201023031322200
5123002210102113140112
61232243125050244520
742356201150332050
oct4076404113157240
9630460488635803
10145033012240032
1142237178452304
1214324452426740
1362c0728c485b7
1427b58c718d560
1511b7994ee763c
hex83e8212cdea0

145033012240032 has 96 divisors (see below), whose sum is σ = 435178985052672. Its totient is φ = 41430389370624.

The previous prime is 145033012240003. The next prime is 145033012240063. The reversal of 145033012240032 is 230042210330541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1450330122400322 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16168038 + ... + 23483429.

It is an arithmetic number, because the mean of its divisors is an integer number (4533114427632).

Almost surely, 2145033012240032 is an apocalyptic number.

145033012240032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145033012240032 is an abundant number, since it is smaller than the sum of its proper divisors (290145972812640).

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

145033012240032 is a wasteful number, since it uses less digits than its factorization.

145033012240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39656930 (or 39656922 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 145033012240032 its reverse (230042210330541), we get a palindrome (375075222570573).

The spelling of 145033012240032 in words is "one hundred forty-five trillion, thirty-three billion, twelve million, two hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 5443 10886 16329 21772 32658 38101 43544 65316 76202 87088 114303 130632 152404 174176 228606 261264 304808 457212 522528 609616 914424 1219232 1828848 3657696 39651467 79302934 118954401 158605868 237908802 277560269 317211736 475817604 555120538 634423472 832680807 951635208 1110241076 1268846944 1665361614 1903270416 2220482152 3330723228 3806540832 4440964304 6661446456 8881928608 13322892912 26645785824 215822934881 431645869762 647468804643 863291739524 1294937609286 1510760544167 1726583479048 2589875218572 3021521088334 3453166958096 4532281632501 5179750437144 6043042176668 6906333916192 9064563265002 10359500874288 12086084353336 18129126530004 20719001748576 24172168706672 36258253060008 48344337413344 72516506120016 145033012240032