Search a number
-
+
250113104424 = 23341734494969
BaseRepresentation
bin1110100011101111100…
…1110001101000101000
3212220120210221011020000
43220323321301220220
513044212423320144
6310522251503000
724033015211161
oct3507371615050
9786523834200
10250113104424
1197088366287
1240582457a60
131a77c6402a1
14c169854768
15678cc0b769
hex3a3be71a28

250113104424 has 160 divisors (see below), whose sum is σ = 706309065000. Its totient is φ = 82687868928.

The previous prime is 250113104413. The next prime is 250113104441. The reversal of 250113104424 is 424401311052.

250113104424 is a `hidden beast` number, since 2 + 501 + 13 + 104 + 42 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 234014062500 + 16099041924 = 483750^2 + 126882^2 .

It is a super-2 number, since 2×2501131044242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50332212 + ... + 50337180.

Almost surely, 2250113104424 is an apocalyptic number.

250113104424 is a gapful number since it is divisible by the number (24) 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 250113104424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353154532500).

250113104424 is an abundant number, since it is smaller than the sum of its proper divisors (456195960576).

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

250113104424 is a wasteful number, since it uses less digits than its factorization.

250113104424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 250113104424 its reverse (424401311052), we get a palindrome (674514415476).

The spelling of 250113104424 in words is "two hundred fifty billion, one hundred thirteen million, one hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 173 216 324 346 449 519 648 692 898 1038 1347 1384 1557 1796 2076 2694 3114 3592 4041 4152 4671 4969 5388 6228 8082 9342 9938 10776 12123 12456 14013 14907 16164 18684 19876 24246 28026 29814 32328 36369 37368 39752 44721 48492 56052 59628 72738 77677 89442 96984 112104 119256 134163 145476 155354 178884 233031 268326 290952 310708 357768 402489 466062 536652 621416 699093 804978 859637 932124 1073304 1398186 1609956 1719274 1864248 2097279 2231081 2578911 2796372 3219912 3438548 4194558 4462162 5157822 5592744 6291837 6693243 6877096 7736733 8389116 8924324 10315644 12583674 13386486 15473466 16778232 17848648 20079729 20631288 23210199 25167348 26772972 30946932 40159458 46420398 50334696 53545944 60239187 61893864 69630597 80318916 92840796 120478374 139261194 160637832 180717561 185681592 240956748 278522388 361435122 385977013 481913496 557044776 722870244 771954026 1157931039 1445740488 1543908052 2315862078 3087816104 3473793117 4631724156 6947586234 9263448312 10421379351 13895172468 20842758702 27790344936 31264138053 41685517404 62528276106 83371034808 125056552212 250113104424