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1014241323304 = 23111710712749891
BaseRepresentation
bin11101100001001010111…
…11100110100100101000
310120221221012222121101201
432300211133212210220
5113104131234321204
62053534103253544
7133163563001026
oct16604537464450
93527835877351
101014241323304
11361156870980
1214469744a2b4
137484789c971
14371379bb716
151b5b1b679a4
hexec257e6928

1014241323304 has 128 divisors (see below), whose sum is σ = 2234650705920. Its totient is φ = 426451737600.

The previous prime is 1014241323299. The next prime is 1014241323313. The reversal of 1014241323304 is 4033231424101.

It is a happy number.

1014241323304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20304199 + ... + 20354089.

It is an arithmetic number, because the mean of its divisors is an integer number (17458208640).

Almost surely, 21014241323304 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 1014241323304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117325352960).

1014241323304 is an abundant number, since it is smaller than the sum of its proper divisors (1220409382616).

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

1014241323304 is a wasteful number, since it uses less digits than its factorization.

1014241323304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50159 (or 50155 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1014241323304 its reverse (4033231424101), we get a palindrome (5047472747405).

The spelling of 1014241323304 in words is "one trillion, fourteen billion, two hundred forty-one million, three hundred twenty-three thousand, three hundred four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 107 127 136 187 214 254 374 428 508 748 856 1016 1177 1397 1496 1819 2159 2354 2794 3638 4318 4708 5588 7276 8636 9416 11176 13589 14552 17272 20009 23749 27178 40018 47498 49891 54356 80036 94996 99782 108712 149479 160072 189992 199564 231013 298958 399128 462026 548801 597916 848147 924052 1097602 1195832 1696294 1848104 2195204 2541143 3392588 4390408 5082286 5338337 6336157 6785176 9329617 10164572 10676674 12672314 18659234 20329144 21353348 25344628 37318468 42706696 50689256 58721707 69697727 74636936 90751729 107714669 117443414 139395454 181503458 215429338 234886828 278790908 363006916 430858676 469773656 557581816 677968799 726013832 861717352 998269019 1184861359 1355937598 1996538038 2369722718 2711875196 3993076076 4739445436 5423750392 7457656789 7986152152 9478890872 11525469583 14915313578 23050939166 29830627156 46101878332 59661254312 92203756664 126780165413 253560330826 507120661652 1014241323304