Search a number
-
+
4448092301904 = 2434110936756501
BaseRepresentation
bin100000010111010011011…
…1101100010101001010000
3120202020022012102010201210
41000232212331202221100
51040334143112130104
613243231515100120
7636235605505626
oct100564675425120
916666265363653
104448092301904
111465475163219
125ba0a1141640
132635b7ba9044
14115408723516
157aa89a19989
hex40ba6f62a50

4448092301904 has 160 divisors (see below), whose sum is σ = 11911742599680. Its totient is φ = 1429332480000.

The previous prime is 4448092301897. The next prime is 4448092301963. The reversal of 4448092301904 is 4091032908444.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 78697654 + ... + 78754154.

It is an arithmetic number, because the mean of its divisors is an integer number (74448391248).

Almost surely, 24448092301904 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 4448092301904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5955871299840).

4448092301904 is an abundant number, since it is smaller than the sum of its proper divisors (7463650297776).

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

4448092301904 is a wasteful number, since it uses less digits than its factorization.

4448092301904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57029 (or 57023 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 4448092301904 in words is "four trillion, four hundred forty-eight billion, ninety-two million, three hundred one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 109 123 164 218 246 327 328 367 436 492 654 656 734 872 984 1101 1308 1468 1744 1968 2202 2616 2936 4404 4469 5232 5872 8808 8938 13407 15047 17616 17876 26814 30094 35752 40003 45141 53628 56501 60188 71504 80006 90282 107256 113002 120009 120376 160012 169503 180564 214512 226004 240018 240752 320024 339006 361128 452008 480036 640048 678012 722256 904016 960072 1356024 1640123 1920144 2316541 2712048 3280246 4633082 4920369 6158609 6560492 6949623 9266164 9840738 12317218 13120984 13899246 18475827 18532328 19681476 20735867 24634436 26241968 27798492 36951654 37064656 39362952 41471734 49268872 55596984 62207601 73903308 78725904 82943468 98537744 111193968 124415202 147806616 165886936 248830404 252502969 295613232 331773872 497660808 505005938 757508907 850170547 995321616 1010011876 1515017814 1700341094 2020023752 2260209503 2550511641 3030035628 3400682188 4040047504 4520419006 5101023282 6060071256 6780628509 6801364376 9040838012 10202046564 12120142512 13561257018 13602728752 18081676024 20404093128 27122514036 36163352048 40808186256 54245028072 92668589623 108490056144 185337179246 278005768869 370674358492 556011537738 741348716984 1112023075476 1482697433968 2224046150952 4448092301904