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145004520230024 = 237131621385331891
BaseRepresentation
bin100000111110000101111110…
…111010110100110010001000
3201000102022000022222010220012
4200332011332322310302020
5123001223224134330044
61232222053523451052
742354142121256350
oct4076057672646210
9630368008863805
10145004520230024
11422260874564a4
121431aa20526a88
1362bab38112490
1427b4383127b60
1511b6d7899559e
hex83e17eeb4c88

145004520230024 has 128 divisors (see below), whose sum is σ = 334929651329280. Its totient is φ = 57312361036800.

The previous prime is 145004520229991. The next prime is 145004520230093. The reversal of 145004520230024 is 420032025400541.

145004520230024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 4546863119 + ... + 4546895009.

It is an arithmetic number, because the mean of its divisors is an integer number (2616637901010).

Almost surely, 2145004520230024 is an apocalyptic number.

145004520230024 is a gapful number since it is divisible by the number (14) 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 145004520230024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167464825664640).

145004520230024 is an abundant number, since it is smaller than the sum of its proper divisors (189925131099256).

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

145004520230024 is a wasteful number, since it uses less digits than its factorization.

145004520230024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37391 (or 37387 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 145004520230024 its reverse (420032025400541), we get a palindrome (565036545630565).

The spelling of 145004520230024 in words is "one hundred forty-five trillion, four billion, five hundred twenty million, two hundred thirty thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1621 3242 3853 6484 7706 11347 12968 15412 21073 22694 26971 30824 31891 42146 45388 50089 53942 63782 84292 90776 100178 107884 127564 147511 168584 200356 215768 223237 255128 295022 350623 400712 414583 446474 590044 701246 829166 892948 1180088 1402492 1658332 1785896 2804984 2902081 3316664 5804162 6245713 11608324 12491426 23216648 24982852 43719991 49965704 51695311 81194269 87439982 103390622 122876023 162388538 174879964 206781244 245752046 324777076 349759928 361867177 413562488 491504092 568359883 649554152 672039043 723734354 860132161 983008184 1136719766 1344078086 1447468708 1597388299 1720264322 2273439532 2688156172 2894937416 3194776598 3440528644 4546879064 4704273301 5376312344 6389553196 6881057288 9408546602 11181718093 12779106392 18817093204 22363436186 37634186408 44726872372 89453744744 199182033283 398364066566 796728133132 1394274232981 1593456266264 2589366432679 2788548465962 5178732865358 5577096931924 10357465730716 11154193863848 18125565028753 20714931461432 36251130057506 72502260115012 145004520230024