Search a number
-
+
4214100044 = 2271116781929
BaseRepresentation
bin1111101100101110…
…0001000001001100
3101212200120110111102
43323023201001030
532112302200134
61534054442232
7206300154650
oct37313410114
911780513442
104214100044
111872827810
12997363378
135220a482b
142bd966a60
15199e6737e
hexfb2e104c

4214100044 has 48 divisors (see below), whose sum is σ = 9249569280. Its totient is φ = 1632005760.

The previous prime is 4214100031. The next prime is 4214100049. The reversal of 4214100044 is 4400014124.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4214099989 and 4214100025.

It is not an unprimeable number, because it can be changed into a prime (4214100049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10472 + ... + 92400.

It is an arithmetic number, because the mean of its divisors is an integer number (192699360).

Almost surely, 24214100044 is an apocalyptic number.

4214100044 is a gapful number since it is divisible by the number (44) 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 4214100044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624784640).

4214100044 is an abundant number, since it is smaller than the sum of its proper divisors (5035469236).

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

4214100044 is a wasteful number, since it uses less digits than its factorization.

4214100044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82118 (or 82116 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4214100044 is about 64916.1000368938. The cubic root of 4214100044 is about 1615.2321384465.

Adding to 4214100044 its reverse (4400014124), we get a palindrome (8614114168).

The spelling of 4214100044 in words is "four billion, two hundred fourteen million, one hundred thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 167 308 334 668 1169 1837 2338 3674 4676 7348 12859 25718 51436 81929 163858 327716 573503 901219 1147006 1802438 2294012 3604876 6308533 12617066 13682143 25234132 27364286 54728572 95775001 150503573 191550002 301007146 383100004 602014292 1053525011 2107050022 4214100044