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444442232130 = 235132354439103
BaseRepresentation
bin1100111011110101101…
…00100100010101000010
31120111011221110200101020
412131322310210111002
524240204202412010
6540101323250310
744052456432621
oct6357264442502
91514157420336
10444442232130
1116153a065166
1272176979996
1332babb1c410
141772271d6b8
15b8633ac470
hex677ad24542

444442232130 has 128 divisors (see below), whose sum is σ = 1199008161792. Its totient is φ = 104613873408.

The previous prime is 444442232093. The next prime is 444442232159. The reversal of 444442232130 is 31232244444.

It is a junction number, because it is equal to n+sod(n) for n = 444442232091 and 444442232100.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 48819159 + ... + 48828261.

It is an arithmetic number, because the mean of its divisors is an integer number (9367251264).

Almost surely, 2444442232130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444442232130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599504080896).

444442232130 is an abundant number, since it is smaller than the sum of its proper divisors (754565929662).

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

444442232130 is a wasteful number, since it uses less digits than its factorization.

444442232130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14592.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 444442232130 its reverse (31232244444), we get a palindrome (475674476574).

The spelling of 444442232130 in words is "four hundred forty-four billion, four hundred forty-two million, two hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 195 230 299 345 390 598 690 897 1495 1794 2990 4485 5443 8970 9103 10886 16329 18206 27215 27309 32658 45515 54430 54618 70759 81645 91030 118339 125189 136545 141518 163290 209369 212277 236678 250378 273090 353795 355017 375567 418738 424554 591695 625945 628107 707590 710034 751134 1046845 1061385 1183390 1251890 1256214 1627457 1775085 1877835 2093690 2122770 2721797 3140535 3254914 3550170 3755670 4882371 5443594 6281070 8137285 8165391 9764742 13608985 16274570 16330782 24411855 27217970 40826955 48823710 49547629 81653910 99095258 148642887 247738145 297285774 495476290 644119177 743214435 1139595467 1288238354 1486428870 1932357531 2279190934 3220595885 3418786401 3864715062 5697977335 6441191770 6837572802 9661787655 11395954670 14814741071 17093932005 19323575310 29629482142 34187864010 44444223213 74073705355 88888446426 148147410710 222221116065 444442232130