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1020401121344 = 26111924015051
BaseRepresentation
bin11101101100101001010…
…01010111100001000000
310121112211111201202202212
432312110221113201000
5113204240141340334
62100433225201252
7133502330264633
oct16662451274100
93545744652685
101020401121344
11363827916360
12145916330228
13752b9ab8287
143755db05c1a
151b822817ece
hexed94a57840

1020401121344 has 84 divisors (see below), whose sum is σ = 2331315853488. Its totient is φ = 439407072000.

The previous prime is 1020401121329. The next prime is 1020401121353. The reversal of 1020401121344 is 4431211040201.

It is a super-2 number, since 2×10204011213442 (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, 1753382 + ... + 2261669.

Almost surely, 21020401121344 is an apocalyptic number.

It is an amenable number.

1020401121344 is an abundant number, since it is smaller than the sum of its proper divisors (1310914732144).

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

1020401121344 is a wasteful number, since it uses less digits than its factorization.

1020401121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015112 (or 4015083 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1020401121344 its reverse (4431211040201), we get a palindrome (5451612161545).

The spelling of 1020401121344 in words is "one trillion, twenty billion, four hundred one million, one hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 361 418 608 704 722 836 1216 1444 1672 2888 3344 3971 5776 6688 7942 11552 13376 15884 23104 31768 63536 127072 254144 4015051 8030102 16060204 32120408 44165561 64240816 76285969 88331122 128481632 152571938 176662244 256963264 305143876 353324488 610287752 706648976 839145659 1220575504 1413297952 1449433411 1678291318 2441151008 2826595904 2898866822 3356582636 4882302016 5797733644 6713165272 11595467288 13426330544 15943767521 23190934576 26852661088 31887535042 46381869152 53705322176 63775070084 92763738304 127550140168 255100280336 510200560672 1020401121344