Search a number
-
+
412875142460 = 225112277615919
BaseRepresentation
bin1100000001000010100…
…01101011010100111100
31110110200222102101002222
412000201101223110330
523231032014024320
6513401111104512
741554300543334
oct6004121532474
91413628371088
10412875142460
1114a110288500
1268027072138
132cc1aba5131
1415daa10a0c4
15ab16dd5825
hex602146b53c

412875142460 has 72 divisors (see below), whose sum is σ = 956467095360. Its totient is φ = 149594163840.

The previous prime is 412875142439. The next prime is 412875142469. The reversal of 412875142460 is 64241578214.

It is a super-2 number, since 2×4128751424602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412875142469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362381 + ... + 978299.

Almost surely, 2412875142460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412875142460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478233547680).

412875142460 is an abundant number, since it is smaller than the sum of its proper divisors (543591952900).

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

412875142460 is a wasteful number, since it uses less digits than its factorization.

412875142460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616227 (or 616214 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The spelling of 412875142460 in words is "four hundred twelve billion, eight hundred seventy-five million, one hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 277 484 554 605 1108 1210 1385 2420 2770 3047 5540 6094 12188 15235 30470 33517 60940 67034 134068 167585 335170 615919 670340 1231838 2463676 3079595 6159190 6775109 12318380 13550218 27100436 33875545 67751090 74526199 135502180 149052398 170609563 298104796 341219126 372630995 682438252 745261990 853047815 1490523980 1706095630 1876705193 3412191260 3753410386 7506820772 9383525965 18767051930 20643757123 37534103860 41287514246 82575028492 103218785615 206437571230 412875142460