Search a number
-
+
41214631464 = 2333857222647
BaseRepresentation
bin100110011000100101…
…010101111000101000
310221101022121012122000
4212120211111320220
51133401421201324
630533404331000
72656223405256
oct463045257050
9127338535560
1041214631464
111652a6486a6
127ba2843a60
133b6a8ca6c6
141dcda295d6
1511134629c9
hex998955e28

41214631464 has 64 divisors (see below), whose sum is σ = 114619190400. Its totient is φ = 13722118272.

The previous prime is 41214631453. The next prime is 41214631511. The reversal of 41214631464 is 46413641214.

41214631464 is a `hidden beast` number, since 4 + 1 + 2 + 14 + 631 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73789 + ... + 296435.

It is an arithmetic number, because the mean of its divisors is an integer number (1790924850).

Almost surely, 241214631464 is an apocalyptic number.

It is an amenable number.

41214631464 is an abundant number, since it is smaller than the sum of its proper divisors (73404558936).

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

41214631464 is a wasteful number, since it uses less digits than its factorization.

41214631464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223519 (or 223509 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 41214631464 in words is "forty-one billion, two hundred fourteen million, six hundred thirty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 857 1714 2571 3428 5142 6856 7713 10284 15426 20568 23139 30852 46278 61704 92556 185112 222647 445294 667941 890588 1335882 1781176 2003823 2671764 4007646 5343528 6011469 8015292 12022938 16030584 24045876 48091752 190808479 381616958 572425437 763233916 1144850874 1526467832 1717276311 2289701748 3434552622 4579403496 5151828933 6869105244 10303657866 13738210488 20607315732 41214631464