Search a number
-
+
10421414520 = 23351127772843
BaseRepresentation
bin10011011010010101…
…00010101001111000
3222220021201201011120
421231022202221320
5132320340231040
64442035025240
7516152363466
oct115512425170
928807651146
1010421414520
114468686a80
12202a13b220
13ca10b8c8a
1470c0dd836
1540eda17d0
hex26d2a2a78

10421414520 has 128 divisors (see below), whose sum is σ = 34130730240. Its totient is φ = 2524605440.

The previous prime is 10421414501. The next prime is 10421414527. The reversal of 10421414520 is 2541412401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10421414527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3664219 + ... + 3667061.

It is an arithmetic number, because the mean of its divisors is an integer number (266646330).

Almost surely, 210421414520 is an apocalyptic number.

10421414520 is a gapful number since it is divisible by the number (10) 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 10421414520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17065365120).

10421414520 is an abundant number, since it is smaller than the sum of its proper divisors (23709315720).

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

10421414520 is a wasteful number, since it uses less digits than its factorization.

10421414520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5645 (or 5641 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 10421414520 its reverse (2541412401), we get a palindrome (12962826921).

The spelling of 10421414520 in words is "ten billion, four hundred twenty-one million, four hundred fourteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2777 2843 5554 5686 8331 8529 11108 11372 13885 14215 16662 17058 22216 22744 27770 28430 30547 31273 33324 34116 41655 42645 55540 56860 61094 62546 66648 68232 83310 85290 91641 93819 111080 113720 122188 125092 152735 156365 166620 170580 183282 187638 244376 250184 305470 312730 333240 341160 366564 375276 458205 469095 610940 625460 733128 750552 916410 938190 1221880 1250920 1832820 1876380 3665640 3752760 7895011 15790022 23685033 31580044 39475055 47370066 63160088 78950110 86845121 94740132 118425165 157900220 173690242 189480264 236850330 260535363 315800440 347380484 434225605 473700660 521070726 694760968 868451210 947401320 1042141452 1302676815 1736902420 2084282904 2605353630 3473804840 5210707260 10421414520