Search a number
-
+
3050144496 = 243277938303
BaseRepresentation
bin1011010111001101…
…1000001011110000
321212120101101122200
42311303120023300
522221314110441
61222355103200
7135404541360
oct26563301360
97776341580
103050144496
1113257aa783
127115a1b00
13397bc0639
1420d13a9a0
1512cb9b7b6
hexb5cd82f0

3050144496 has 120 divisors (see below), whose sum is σ = 9879367680. Its totient is φ = 860416128.

The previous prime is 3050144491. The next prime is 3050144497. The reversal of 3050144496 is 6944410503.

3050144496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3050144496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3050144491) 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, 60481 + ... + 98783.

It is an arithmetic number, because the mean of its divisors is an integer number (82328064).

Almost surely, 23050144496 is an apocalyptic number.

3050144496 is a gapful number since it is divisible by the number (36) 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 3050144496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939683840).

3050144496 is an abundant number, since it is smaller than the sum of its proper divisors (6829223184).

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

3050144496 is a wasteful number, since it uses less digits than its factorization.

3050144496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38403 (or 38394 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3050144496 is about 55228.1132757584. The cubic root of 3050144496 is about 1450.2408630394.

Adding to 3050144496 its reverse (6944410503), we get a palindrome (9994554999).

The spelling of 3050144496 in words is "three billion, fifty million, one hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 79 84 112 126 144 158 168 237 252 316 336 474 504 553 632 711 948 1008 1106 1264 1422 1659 1896 2212 2844 3318 3792 4424 4977 5688 6636 8848 9954 11376 13272 19908 26544 38303 39816 76606 79632 114909 153212 229818 268121 306424 344727 459636 536242 612848 689454 804363 919272 1072484 1378908 1608726 1838544 2144968 2413089 2757816 3025937 3217452 4289936 4826178 5515632 6051874 6434904 9077811 9652356 12103748 12869808 18155622 19304712 21181559 24207496 27233433 36311244 38609424 42363118 48414992 54466866 63544677 72622488 84726236 108933732 127089354 145244976 169452472 190634031 217867464 254178708 338904944 381268062 435734928 508357416 762536124 1016714832 1525072248 3050144496