Search a number
-
+
4440120624 = 24344317949
BaseRepresentation
bin1000010001010011…
…01101110100110000
3102110102212111110000
410020221231310300
533043132324444
62012331110000
7215013255042
oct41051556460
912412774400
104440120624
111979372385
12a3aba2300
13559b6c714
1430199da92
151aec11469
hex108a6dd30

4440120624 has 100 divisors (see below), whose sum is σ = 12882434400. Its totient is φ = 1476420480.

The previous prime is 4440120599. The next prime is 4440120631. The reversal of 4440120624 is 4260210444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 554602 + ... + 562550.

It is an arithmetic number, because the mean of its divisors is an integer number (128824344).

Almost surely, 24440120624 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 4440120624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441217200).

4440120624 is an abundant number, since it is smaller than the sum of its proper divisors (8442313776).

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

4440120624 is a wasteful number, since it uses less digits than its factorization.

4440120624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8400 (or 8385 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4440120624 is about 66634.2301223628. The cubic root of 4440120624 is about 1643.6080369833.

It can be divided in two parts, 44401 and 20624, that added together give a square (65025 = 2552).

The spelling of 4440120624 in words is "four billion, four hundred forty million, one hundred twenty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 431 432 648 862 1293 1296 1724 2586 3448 3879 5172 6896 7758 7949 10344 11637 15516 15898 20688 23274 23847 31032 31796 34911 46548 47694 62064 63592 69822 71541 93096 95388 127184 139644 143082 186192 190776 214623 279288 286164 381552 429246 558576 572328 643869 858492 1144656 1287738 1716984 2575476 3426019 3433968 5150952 6852038 10278057 10301904 13704076 20556114 27408152 30834171 41112228 54816304 61668342 82224456 92502513 123336684 164448912 185005026 246673368 277507539 370010052 493346736 555015078 740020104 1110030156 1480040208 2220060312 4440120624