Search a number
-
+
1418364029448 = 2332192753937649
BaseRepresentation
bin10100101000111101000…
…101011000101000001000
312000121001020011011000200
4110220331011120220020
5141214302142420243
63003330515332200
7204321245220342
oct24507505305010
95017036134020
101418364029448
114a7585577433
121aaa7b2b1060
13a399c3932a2
144c913516292
1526d65473ad3
hex14a3d158a08

1418364029448 has 96 divisors (see below), whose sum is σ = 4043835900000. Its totient is φ = 447876269568.

The previous prime is 1418364029363. The next prime is 1418364029449. The reversal of 1418364029448 is 8449204638141.

1418364029448 is a `hidden beast` number, since 1 + 41 + 83 + 64 + 0 + 29 + 448 = 666.

It is a super-2 number, since 2×14183640294482 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1418364029394 and 1418364029403.

It is not an unprimeable number, because it can be changed into a prime (1418364029449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37654528 + ... + 37692176.

It is an arithmetic number, because the mean of its divisors is an integer number (42123290625).

Almost surely, 21418364029448 is an apocalyptic number.

1418364029448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1418364029448 is an abundant number, since it is smaller than the sum of its proper divisors (2625471870552).

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

1418364029448 is a wasteful number, since it uses less digits than its factorization.

1418364029448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65219 (or 65212 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 1418364029448 in words is "one trillion, four hundred eighteen billion, three hundred sixty-four million, twenty-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 27539 37649 55078 75298 82617 110156 112947 150596 165234 220312 225894 247851 301192 330468 338841 451788 495702 523241 660936 677682 715331 903576 991404 1046482 1355364 1430662 1569723 1982808 2092964 2145993 2710728 2861324 3139446 4185928 4291986 4709169 5722648 6278892 6437979 8583972 9418338 12557784 12875958 17167944 18836676 25751916 37673352 51503832 1036815811 2073631622 3110447433 4147263244 6220894866 8294526488 9331342299 12441789732 18662684598 19699500409 24883579464 37325369196 39399000818 59098501227 74650738392 78798001636 118197002454 157596003272 177295503681 236394004908 354591007362 472788009816 709182014724 1418364029448