Search a number
-
+
4015400241504 = 253199511231461
BaseRepresentation
bin111010011011101000100…
…000010100100101100000
3112012212110010222000202010
4322123220200110211200
51011242014430212004
612312352134352520
7563050234621311
oct72335040244540
915185403860663
104015400241504
111308a15833a93
1254a2654bb740
1323185c53bc82
14dc4bc78c608
156e6b2ecea89
hex3a6e8814960

4015400241504 has 96 divisors (see below), whose sum is σ = 11096399381760. Its totient is φ = 1267882329600.

The previous prime is 4015400241491. The next prime is 4015400241521. The reversal of 4015400241504 is 4051420045104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40154002415042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17232334 + ... + 17463794.

It is an arithmetic number, because the mean of its divisors is an integer number (115587493560).

Almost surely, 24015400241504 is an apocalyptic number.

It is an amenable number.

4015400241504 is an abundant number, since it is smaller than the sum of its proper divisors (7080999140256).

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

4015400241504 is a wasteful number, since it uses less digits than its factorization.

4015400241504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241004 (or 240996 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 4015400241504 its reverse (4051420045104), we get a palindrome (8066820286608).

The spelling of 4015400241504 in words is "four trillion, fifteen billion, four hundred million, two hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 9511 19022 28533 38044 57066 76088 114132 152176 180709 228264 231461 304352 361418 456528 462922 542127 694383 722836 913056 925844 1084254 1388766 1445672 1851688 2168508 2777532 2891344 3703376 4337016 4397759 5555064 5782688 7406752 8674032 8795518 11110128 13193277 17348064 17591036 22220256 26386554 35182072 52773108 70364144 105546216 140728288 211092432 422184864 2201425571 4402851142 6604276713 8805702284 13208553426 17611404568 26417106852 35222809136 41827085849 52834213704 70445618272 83654171698 105668427408 125481257547 167308343396 211336854816 250962515094 334616686792 501925030188 669233373584 1003850060376 1338466747168 2007700120752 4015400241504