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524140020044322 = 2311198336389138389
BaseRepresentation
bin111011100101100111101101…
…1101101010001001000100010
32112201211022000012011002101220
41313023033123231101020202
51022200002230112404242
65054430333501235510
7215254603211644323
oct16713173355211042
92481738005132356
10524140020044322
11142009597016170
124a951a20262b96
1319660265532786
149360725b8244a
15408e1410bebec
hex1dcb3dbb51222

524140020044322 has 128 divisors (see below), whose sum is σ = 1218312047232000. Its totient is φ = 148652758298880.

The previous prime is 524140020044317. The next prime is 524140020044353. The reversal of 524140020044322 is 223440020041425.

It is a super-2 number, since 2×5241400200443222 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3787370704 + ... + 3787509092.

It is an arithmetic number, because the mean of its divisors is an integer number (9518062869000).

Almost surely, 2524140020044322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 524140020044322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609156023616000).

524140020044322 is an abundant number, since it is smaller than the sum of its proper divisors (694172027187678).

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

524140020044322 is a wasteful number, since it uses less digits than its factorization.

524140020044322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174896.

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 524140020044322 its reverse (223440020041425), we get a palindrome (747580040085747).

The spelling of 524140020044322 in words is "five hundred twenty-four trillion, one hundred forty billion, twenty million, forty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 83 114 166 209 249 418 498 627 913 1254 1577 1826 2739 3154 4731 5478 9462 17347 34694 36389 52041 72778 104082 109167 138389 218334 276778 400279 415167 691391 800558 830334 1200837 1382782 1522279 2074173 2401674 2629391 3020287 3044558 4148346 4566837 5258782 6040574 7605301 7888173 9060861 9133674 11486287 15210602 15776346 18121722 22815903 22972574 28923301 33223157 34458861 45631806 57385453 57846602 66446314 68917722 86769903 99669471 114770906 126349157 172156359 173539806 199338942 218239453 252698314 344312718 379047471 436478906 631239983 654718359 758094942 1262479966 1309436718 1893719949 2400633983 3787439898 4801267966 5035837321 7201901949 10071674642 14403803898 15107511963 30215023926 55394210531 95680909099 110788421062 166182631593 191361818198 287042727297 332365263186 417974497643 574085454594 835948995286 1052490000089 1253923492929 2104980000178 2507846985858 3157470000267 4597719474073 6314940000534 7941515455217 9195438948146 13793158422219 15883030910434 23824546365651 27586316844438 47649092731302 87356670007387 174713340014774 262070010022161 524140020044322