Search a number
-
+
445037874402048 = 2833134574051121
BaseRepresentation
bin110010100110000100111010…
…0011010100101001100000000
32011100202012112122200020010220
41211030021310122211030000
5431313000031321331143
64214303324351423040
7162511632254612454
oct14514116432451400
92140665478606126
10445037874402048
11119891558a94044
1241ab73a3824a80
1316142b7877aa55
147bc7d3b646664
15366b6ca631d83
hex194c2746a5300

445037874402048 has 144 divisors (see below), whose sum is σ = 1190834312238816. Its totient is φ = 147548401827840.

The previous prime is 445037874402041. The next prime is 445037874402103. The reversal of 445037874402048 is 840204478730544.

It is a junction number, because it is equal to n+sod(n) for n = 445037874401982 and 445037874402000.

It is not an unprimeable number, because it can be changed into a prime (445037874402041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 107829928 + ... + 111881048.

Almost surely, 2445037874402048 is an apocalyptic number.

445037874402048 is a gapful number since it is divisible by the number (48) 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 445037874402048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595417156119408).

445037874402048 is an abundant number, since it is smaller than the sum of its proper divisors (745796437836768).

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

445037874402048 is a wasteful number, since it uses less digits than its factorization.

445037874402048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051910 (or 4051896 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 60.

The spelling of 445037874402048 in words is "four hundred forty-five trillion, thirty-seven billion, eight hundred seventy-four million, four hundred two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 313 384 457 626 768 914 939 1252 1371 1828 1878 2504 2742 3656 3756 5008 5484 7312 7512 10016 10968 14624 15024 20032 21936 29248 30048 40064 43872 58496 60096 80128 87744 116992 120192 143041 175488 240384 286082 350976 429123 572164 858246 1144328 1716492 2288656 3432984 4051121 4577312 6865968 8102242 9154624 12153363 13731936 16204484 18309248 24306726 27463872 32408968 36618496 48613452 54927744 64817936 97226904 109855488 129635872 194453808 259271744 388907616 518543488 777815232 1037086976 1268000873 1555630464 1851362297 2536001746 3111260928 3702724594 3804002619 5072003492 5554086891 7405449188 7608005238 10144006984 11108173782 14810898376 15216010476 20288013968 22216347564 29621796752 30432020952 40576027936 44432695128 59243593504 60864041904 81152055872 88865390256 118487187008 121728083808 162304111744 177730780512 236974374016 243456167616 324608223488 355461561024 473948748032 486912335232 579476398961 710923122048 973824670464 1158952797922 1421846244096 1738429196883 2317905595844 3476858393766 4635811191688 6953716787532 9271622383376 13907433575064 18543244766752 27814867150128 37086489533504 55629734300256 74172979067008 111259468600512 148345958134016 222518937201024 445037874402048