Search a number
-
+
4334440130244 = 2232725801666647
BaseRepresentation
bin111111000100110000110…
…000111010011011000100
3120100100221120210121200200
4333010300300322123010
51032003413133131434
613115114142410500
7625103316132450
oct77046060723304
916310846717620
104334440130244
111421253500524
125a0063290a30
13255974b63323
1410db0648d660
1577b36ea7199
hex3f130c3a6c4

4334440130244 has 72 divisors (see below), whose sum is σ = 12522220034688. Its totient is φ = 1238361609600.

The previous prime is 4334440130171. The next prime is 4334440130263. The reversal of 4334440130244 is 4420310444334.

4334440130244 is a `hidden beast` number, since 4 + 3 + 3 + 4 + 4 + 401 + 3 + 0 + 244 = 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 = 4334440130199 and 4334440130208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6168529 + ... + 6835175.

It is an arithmetic number, because the mean of its divisors is an integer number (173919722704).

Almost surely, 24334440130244 is an apocalyptic number.

It is an amenable number.

4334440130244 is an abundant number, since it is smaller than the sum of its proper divisors (8187779904444).

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

4334440130244 is a wasteful number, since it uses less digits than its factorization.

4334440130244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692465 (or 692460 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4334440130244 its reverse (4420310444334), we get a palindrome (8754750574578).

The spelling of 4334440130244 in words is "four trillion, three hundred thirty-four billion, four hundred forty million, one hundred thirty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 25801 51602 77403 103204 154806 180607 232209 309612 361214 464418 541821 666647 722428 928836 1083642 1333294 1625463 1999941 2167284 2666588 3250926 3999882 4666529 5999823 6501852 7999764 9333058 11999646 13999587 18666116 23999292 27999174 41998761 55998348 83997522 167995044 17200159247 34400318494 51600477741 68800636988 103200955482 120401114729 154801433223 206401910964 240802229458 309602866446 361203344187 481604458916 619205732892 722406688374 1083610032561 1444813376748 2167220065122 4334440130244