Search a number
-
+
1041451134144 = 26317191315527
BaseRepresentation
bin11110010011110110101…
…00110010110011000000
310200120011112001012210120
433021323110302303000
5114030342442243034
62114234104100240
7135146062402431
oct17117324626300
93616145035716
101041451134144
1137174a018553
12149a0ba64680
1377292b91255
1438599637488
151c155843c49
hexf27b532cc0

1041451134144 has 56 divisors (see below), whose sum is σ = 2755675147008. Its totient is φ = 347129084160.

The previous prime is 1041451134133. The next prime is 1041451134161. The reversal of 1041451134144 is 4414311541401.

1041451134144 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 2×10414511341442 (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 7 ways as a sum of consecutive naturals, for example, 3142909 + ... + 3458435.

It is an arithmetic number, because the mean of its divisors is an integer number (49208484768).

Almost surely, 21041451134144 is an apocalyptic number.

It is an amenable number.

1041451134144 is an abundant number, since it is smaller than the sum of its proper divisors (1714224012864).

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

1041451134144 is a wasteful number, since it uses less digits than its factorization.

1041451134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332733 (or 332723 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 1041451134144 its reverse (4414311541401), we get a palindrome (5455762675545).

The spelling of 1041451134144 in words is "one trillion, forty-one billion, four hundred fifty-one million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 17191 34382 51573 68764 103146 137528 206292 275056 315527 412584 550112 631054 825168 946581 1100224 1262108 1650336 1893162 2524216 3300672 3786324 5048432 7572648 10096864 15145296 20193728 30290592 60581184 5424224657 10848449314 16272673971 21696898628 32545347942 43393797256 65090695884 86787594512 130181391768 173575189024 260362783536 347150378048 520725567072 1041451134144