Search a number
-
+
1041344151344 = 24727996717387
BaseRepresentation
bin11110010011101001111…
…00101011111100110000
310200112220001201220222122
433021310330223330300
5114030133100320334
62114215323053412
7135143323145300
oct17116474537460
93615801656878
101041344151344
113716a4697812
121499a0071268
1377276974313
1438589349600
151c14b26032e
hexf274f2bf30

1041344151344 has 120 divisors (see below), whose sum is σ = 2379312714240. Its totient is φ = 440160110208.

The previous prime is 1041344151329. The next prime is 1041344151349. The reversal of 1041344151344 is 4431514431401.

It is not an unprimeable number, because it can be changed into a prime (1041344151349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59883419 + ... + 59900805.

It is an arithmetic number, because the mean of its divisors is an integer number (19827605952).

Almost surely, 21041344151344 is an apocalyptic number.

1041344151344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041344151344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189656357120).

1041344151344 is an abundant number, since it is smaller than the sum of its proper divisors (1337968562896).

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

1041344151344 is a wasteful number, since it uses less digits than its factorization.

1041344151344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18455 (or 18442 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 1041344151344 its reverse (4431514431401), we get a palindrome (5472858582745).

The spelling of 1041344151344 in words is "one trillion, forty-one billion, three hundred forty-four million, one hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 79 98 112 158 196 316 392 553 632 784 967 1106 1264 1934 2212 3868 3871 4424 6769 7736 7742 8848 13538 15472 15484 17387 27076 30968 34774 47383 54152 61936 69548 76393 94766 108304 121709 139096 152786 189532 243418 278192 305572 379064 486836 534751 611144 758128 851963 973672 1069502 1222288 1373573 1703926 1947344 2139004 2747146 3407852 3743257 4278008 5494292 6815704 7486514 8556016 9615011 10988584 13631408 14973028 16813229 19230022 21977168 29946056 33626458 38460044 59892112 67252916 67305077 76920088 117692603 134505832 134610154 153840176 235385206 269011664 269220308 470770412 538440616 823848221 941540824 1076881232 1328245091 1647696442 1883081648 2656490182 3295392884 5312980364 6590785768 9297715637 10625960728 13181571536 18595431274 21251921456 37190862548 65084009459 74381725096 130168018918 148763450192 260336037836 520672075672 1041344151344