Search a number
-
+
241503197787040 = 2557359360013319
BaseRepresentation
bin110110111010010101011000…
…010100001111001110100000
31011200002110222002101121202111
4312322111120110033032200
5223123242022113141130
62213345012031125104
7101604013242632230
oct6672253024171640
91150073862347674
10241503197787040
116aa4aa271a2512
1223104b30373794
13a49a866615407
14438cb62339cc0
151cdc0bbc6802a
hexdba55850f3a0

241503197787040 has 96 divisors (see below), whose sum is σ = 652240125169920. Its totient is φ = 82778049890304.

The previous prime is 241503197787031. The next prime is 241503197787079. The reversal of 241503197787040 is 40787791305142.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25982500 + ... + 34030819.

It is an arithmetic number, because the mean of its divisors is an integer number (6794167970520).

Almost surely, 2241503197787040 is an apocalyptic number.

241503197787040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241503197787040 is an abundant number, since it is smaller than the sum of its proper divisors (410736927382880).

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

241503197787040 is a wasteful number, since it uses less digits than its factorization.

241503197787040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60016934 (or 60016926 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 58.

The spelling of 241503197787040 in words is "two hundred forty-one trillion, five hundred three billion, one hundred ninety-seven million, seven hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 3593 7186 14372 17965 25151 28744 35930 50302 57488 71860 100604 114976 125755 143720 201208 251510 287440 402416 503020 574880 804832 1006040 2012080 4024160 60013319 120026638 240053276 300066595 420093233 480106552 600133190 840186466 960213104 1200266380 1680372932 1920426208 2100466165 2400532760 3360745864 4200932330 4801065520 6721491728 8401864660 9602131040 13442983456 16803729320 33607458640 67214917280 215627855167 431255710334 862511420668 1078139275835 1509394986169 1725022841336 2156278551670 3018789972338 3450045682672 4312557103340 6037579944676 6900091365344 7546974930845 8625114206680 12075159889352 15093949861690 17250228413360 24150319778704 30187899723380 34500456826720 48300639557408 60375799446760 120751598893520 241503197787040