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145372520244 = 223719271336109
BaseRepresentation
bin1000011101100011100…
…0001001111100110100
3111220020021001012000110
42013120320021330310
54340210331121434
6150441101343020
713334316014430
oct2073070117464
9456207035013
10145372520244
1156719aa8116
1224210b67a70
1310929960363
147070d7d9c0
153bac70e4e9
hex21d8e09f34

145372520244 has 96 divisors (see below), whose sum is σ = 409570201600. Its totient is φ = 39203637120.

The previous prime is 145372520219. The next prime is 145372520261. The reversal of 145372520244 is 442025273541.

It is a super-2 number, since 2×1453725202442 (a number of 23 digits) contains 22 as substring.

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, 264462 + ... + 600570.

Almost surely, 2145372520244 is an apocalyptic number.

145372520244 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 145372520244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204785100800).

145372520244 is an abundant number, since it is smaller than the sum of its proper divisors (264197681356).

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

145372520244 is a wasteful number, since it uses less digits than its factorization.

145372520244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336413 (or 336411 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 39.

Adding to 145372520244 its reverse (442025273541), we get a palindrome (587397793785).

The spelling of 145372520244 in words is "one hundred forty-five billion, three hundred seventy-two million, five hundred twenty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 271 399 532 542 798 813 1084 1596 1626 1897 3252 3794 5149 5691 7588 10298 11382 15447 20596 22764 30894 36043 61788 72086 108129 144172 216258 336109 432516 672218 1008327 1344436 2016654 2352763 4033308 4705526 6386071 7058289 9411052 12772142 14116578 19158213 25544284 28233156 38316426 44702497 76632852 89404994 91085539 134107491 178809988 182171078 268214982 273256617 364342156 536429964 546513234 637598773 1093026468 1275197546 1730625241 1912796319 2550395092 3461250482 3825592638 5191875723 6922500964 7651185276 10383751446 12114376687 20767502892 24228753374 36343130061 48457506748 72686260122 145372520244