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220134431024 = 244171109131331
BaseRepresentation
bin1100110100000100001…
…0001101100100110000
3210001012112202202102222
43031001002031210300
512101313403243044
6245043420500212
721622064535044
oct3150102154460
9701175682388
10220134431024
11853a4169242
12367b66aa668
13179b28043a1
14a92419c024
155ad5de68ee
hex334108d930

220134431024 has 160 divisors (see below), whose sum is σ = 451906076160. Its totient is φ = 103783680000.

The previous prime is 220134430993. The next prime is 220134431057. The reversal of 220134431024 is 420134431022.

It is a junction number, because it is equal to n+sod(n) for n = 220134430984 and 220134431002.

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, 665058539 + ... + 665058869.

It is an arithmetic number, because the mean of its divisors is an integer number (2824412976).

Almost surely, 2220134431024 is an apocalyptic number.

It is an amenable number.

220134431024 is an abundant number, since it is smaller than the sum of its proper divisors (231771645136).

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

220134431024 is a wasteful number, since it uses less digits than its factorization.

220134431024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 220134431024 its reverse (420134431022), we get a palindrome (640268862046).

The spelling of 220134431024 in words is "two hundred twenty billion, one hundred thirty-four million, four hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 41 71 82 109 131 142 164 218 262 284 328 331 436 524 568 656 662 872 1048 1136 1324 1744 2096 2648 2911 4469 5296 5371 5822 7739 8938 9301 10742 11644 13571 14279 15478 17876 18602 21484 23288 23501 27142 28558 30956 35752 36079 37204 42968 43361 46576 47002 54284 57116 61912 71504 72158 74408 85936 86722 94004 108568 114232 123824 144316 148816 173444 188008 217136 228464 288632 317299 346888 376016 381341 577264 585439 634598 693776 762682 963541 1013809 1170878 1269196 1479239 1525364 1777801 1927082 2027618 2341756 2538392 2561609 2958478 3050728 3078631 3555602 3854164 4055236 4683512 4726349 5076784 5123218 5916956 6101456 6157262 7111204 7708328 8110472 9367024 9452698 10246436 11833912 12314524 14222408 15416656 16220944 18905396 20492872 23667824 24629048 28444816 37810792 40985744 41566169 49258096 75621584 83132338 105025969 126223871 166264676 193780309 210051938 252447742 332529352 335570779 387560618 420103876 504895484 665058704 671141558 775121236 840207752 1009790968 1342283116 1550242472 1680415504 2019581936 2684566232 3100484944 5369132464 13758401939 27516803878 55033607756 110067215512 220134431024