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4214412024 = 233536749451
BaseRepresentation
bin1111101100110010…
…1101001011111000
3101212201011022110020
43323030231023320
532112342141044
61534105250440
7206302624344
oct37314551370
911781138406
104214412024
111872a20149
12997493a20
13522183834
142bda08624
15199ec9a19
hexfb32d2f8

4214412024 has 64 divisors (see below), whose sum is σ = 10895264640. Its totient is φ = 1357699200.

The previous prime is 4214412019. The next prime is 4214412031. The reversal of 4214412024 is 4202144124.

It is a super-2 number, since 2×42144120242 = 35522537416071553152, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4214411985 and 4214412003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60499 + ... + 109949.

It is an arithmetic number, because the mean of its divisors is an integer number (170238510).

Almost surely, 24214412024 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 4214412024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5447632320).

4214412024 is an abundant number, since it is smaller than the sum of its proper divisors (6680852616).

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

4214412024 is a wasteful number, since it uses less digits than its factorization.

4214412024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49580 (or 49576 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4214412024 is about 64918.5029402250. The cubic root of 4214412024 is about 1615.2719973078.

Adding to 4214412024 its reverse (4202144124), we get a palindrome (8416556148).

The spelling of 4214412024 in words is "four billion, two hundred fourteen million, four hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 67 106 134 159 201 212 268 318 402 424 536 636 804 1272 1608 3551 7102 10653 14204 21306 28408 42612 49451 85224 98902 148353 197804 296706 395608 593412 1186824 2620903 3313217 5241806 6626434 7862709 9939651 10483612 13252868 15725418 19879302 20967224 26505736 31450836 39758604 62901672 79517208 175600501 351201002 526801503 702402004 1053603006 1404804008 2107206012 4214412024