Search a number
-
+
4227390144 = 263231236749
BaseRepresentation
bin1111101111111000…
…1101101011000000
3101220121120200002100
43323332031223000
532124202441034
61535251350400
7206521136415
oct37376155300
911817520070
104227390144
11187a28486a
1299b8b2400
13524a78ab3
142c162610c
1519b1e0099
hexfbf8dac0

4227390144 has 84 divisors (see below), whose sum is σ = 12507976000. Its totient is φ = 1363668480.

The previous prime is 4227390143. The next prime is 4227390149. The reversal of 4227390144 is 4410937224.

4227390144 is a `hidden beast` number, since 4 + 227 + 390 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4227390099 and 4227390108.

It is not an unprimeable number, because it can be changed into a prime (4227390143) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 100519 + ... + 136230.

Almost surely, 24227390144 is an apocalyptic number.

It is an amenable number.

4227390144 is an abundant number, since it is smaller than the sum of its proper divisors (8280585856).

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

4227390144 is a wasteful number, since it uses less digits than its factorization.

4227390144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236798 (or 236785 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4227390144 is about 65018.3831235444. The cubic root of 4227390144 is about 1616.9283542708.

The spelling of 4227390144 in words is "four billion, two hundred twenty-seven million, three hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8928 17856 236749 473498 710247 946996 1420494 1893992 2130741 2840988 3787984 4261482 5681976 7339219 7575968 8522964 11363952 14678438 15151936 17045928 22017657 22727904 29356876 34091856 44035314 45455808 58713752 66052971 68183712 88070628 117427504 132105942 136367424 176141256 234855008 264211884 352282512 469710016 528423768 704565024 1056847536 1409130048 2113695072 4227390144