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1240343331344 = 2413172328035441
BaseRepresentation
bin10010000011001010001…
…110010100001000010000
311101120112122210200112122
4102003022032110020100
5130310210343100334
62345450022113412
7155416602234605
oct22031216241020
94346478720478
101240343331344
11439032525047
1218047857b868
138cc6b829cc0
14440665486ac
15223e68e032e
hex120ca394210

1240343331344 has 160 divisors (see below), whose sum is σ = 2860948387584. Its totient is φ = 515087400960.

The previous prime is 1240343331287. The next prime is 1240343331431. The reversal of 1240343331344 is 4431333430421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227959664 + ... + 227965104.

Almost surely, 21240343331344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1240343331344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430474193792).

1240343331344 is an abundant number, since it is smaller than the sum of its proper divisors (1620605056240).

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

1240343331344 is a wasteful number, since it uses less digits than its factorization.

1240343331344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8305 (or 8299 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 1240343331344 its reverse (4431333430421), we get a palindrome (5671676761765).

The spelling of 1240343331344 in words is "one trillion, two hundred forty billion, three hundred forty-three million, three hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 17 23 26 34 46 52 68 92 104 136 184 208 221 272 299 368 391 442 598 782 884 1196 1564 1768 2392 2803 3128 3536 4784 5083 5441 5606 6256 10166 10882 11212 20332 21764 22424 36439 40664 43528 44848 47651 64469 70733 72878 81328 87056 92497 95302 125143 128938 141466 145756 184994 190604 250286 257876 282932 291512 369988 381208 500572 515752 565864 583024 619463 739976 762416 838097 1001144 1031504 1095973 1131728 1202461 1238926 1479952 1626859 1676194 2002288 2127431 2191946 2404922 2477852 3253718 3352388 4254862 4383892 4809844 4955704 6507436 6704776 8509724 8767784 9619688 9911408 13014872 13409552 14247649 15251123 17019448 17535568 19239376 26029744 27656603 28495298 30502246 34038896 55313206 56990596 61004492 110626412 113981192 122008984 198264599 221252824 227962384 244017968 259269091 350775829 396529198 442505648 518538182 701551658 793058396 1037076364 1403103316 1586116792 2074152728 2806206632 3172233584 3370498183 4148305456 4560085777 5612413264 5963189093 6740996366 9120171554 11926378186 13481992732 18240343108 23852756372 26963985464 36480686216 47705512744 53927970928 72961372432 77521458209 95411025488 155042916418 310085832836 620171665672 1240343331344