Search a number
-
+
4940379183880 = 2357433831071359
BaseRepresentation
bin100011111100100010110…
…0010111101101100001000
3122111021222112000212011101
41013321011202331230020
51121420344032341010
614301325011311144
71016634126120610
oct107710542755410
918437875025141
104940379183880
111635226287a08
1267958abab4b4
1329ab5006a94a
141311893d9a40
158879d41e73a
hex47e458bdb08

4940379183880 has 128 divisors (see below), whose sum is σ = 13033222963200. Its totient is φ = 1650131304192.

The previous prime is 4940379183869. The next prime is 4940379183889. The reversal of 4940379183880 is 883819730494.

It is not an unprimeable number, because it can be changed into a prime (4940379183889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4075641 + ... + 5146999.

It is an arithmetic number, because the mean of its divisors is an integer number (101822054400).

Almost surely, 24940379183880 is an apocalyptic number.

4940379183880 is a gapful number since it is divisible by the number (40) 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 4940379183880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6516611481600).

4940379183880 is an abundant number, since it is smaller than the sum of its proper divisors (8092843779320).

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

4940379183880 is a wasteful number, since it uses less digits than its factorization.

4940379183880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071803 (or 1071799 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 64.

The spelling of 4940379183880 in words is "four trillion, nine hundred forty billion, three hundred seventy-nine million, one hundred eighty-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 383 430 602 766 860 1204 1505 1532 1720 1915 2408 2681 3010 3064 3830 5362 6020 7660 10724 12040 13405 15320 16469 21448 26810 32938 53620 65876 82345 107240 115283 131752 164690 230566 329380 461132 576415 658760 922264 1071359 1152830 2142718 2305660 4285436 4611320 5356795 7499513 8570872 10713590 14999026 21427180 29998052 37497565 42854360 46068437 59996104 74995130 92136874 149990260 184273748 230342185 299980520 322479059 368547496 410330497 460684370 644958118 820660994 921368740 1289916236 1612395295 1641321988 1842737480 2051652485 2579832472 2872313479 3224790590 3282643976 4103304970 5744626958 6449581180 8206609940 11489253916 12899162360 14361567395 16413219880 17644211371 22978507832 28723134790 35288422742 57446269580 70576845484 88221056855 114892539160 123509479597 141153690968 176442113710 247018959194 352884227420 494037918388 617547397985 705768454840 988075836776 1235094795970 2470189591940 4940379183880