Search a number
-
+
1049494318128 = 243224130241307
BaseRepresentation
bin11110100010110101011…
…11000110110000110000
310201022221001201021222200
433101122233012300300
5114143331021140003
62122044145303200
7135552306341424
oct17213257066060
93638831637880
101049494318128
113750a7200743
1214b495634b00
1377c75344209
1438b1d942b84
151c476a1e6a3
hexf45abc6c30

1049494318128 has 60 divisors (see below), whose sum is σ = 2949313804008. Its totient is φ = 348379845120.

The previous prime is 1049494318109. The next prime is 1049494318133. The reversal of 1049494318128 is 8218134949401.

1049494318128 is a `hidden beast` number, since 1 + 0 + 49 + 49 + 431 + 8 + 128 = 666.

1049494318128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10494943181282 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15085950 + ... + 15155357.

Almost surely, 21049494318128 is an apocalyptic number.

1049494318128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1049494318128 is an abundant number, since it is smaller than the sum of its proper divisors (1899819485880).

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

1049494318128 is a wasteful number, since it uses less digits than its factorization.

1049494318128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30241562 (or 30241553 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1049494318128 in words is "one trillion, forty-nine billion, four hundred ninety-four million, three hundred eighteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 241 482 723 964 1446 1928 2169 2892 3856 4338 5784 8676 11568 17352 34704 30241307 60482614 90723921 120965228 181447842 241930456 272171763 362895684 483860912 544343526 725791368 1088687052 1451582736 2177374104 4354748208 7288154987 14576309974 21864464961 29152619948 43728929922 58305239896 65593394883 87457859844 116610479792 131186789766 174915719688 262373579532 349831439376 524747159064 1049494318128