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1002003401441 = 72295911951519
BaseRepresentation
bin11101001010011000000…
…11101000101011100001
310112210100100011202121102
432211030003220223201
5112404100332321231
62044151454204145
7132251402245400
oct16451403505341
93483310152542
101002003401441
11356a46886069
12142240ab3655
1373647364193
14366d6549637
151b0e759bacb
hexe94c0e8ae1

1002003401441 has 24 divisors (see below), whose sum is σ = 1226225952000. Its totient is φ = 815189139744.

The previous prime is 1002003401431. The next prime is 1002003401447. The reversal of 1002003401441 is 1441043002001.

It is not a de Polignac number, because 1002003401441 - 234 = 984823532257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002003401447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5891921 + ... + 6059598.

It is an arithmetic number, because the mean of its divisors is an integer number (51092748000).

Almost surely, 21002003401441 is an apocalyptic number.

It is an amenable number.

1002003401441 is a deficient number, since it is larger than the sum of its proper divisors (224222550559).

1002003401441 is a wasteful number, since it uses less digits than its factorization.

1002003401441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11951621 (or 11951614 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1002003401441 its reverse (1441043002001), we get a palindrome (2443046403442).

The spelling of 1002003401441 in words is "one trillion, two billion, three million, four hundred one thousand, four hundred forty-one".

Divisors: 1 7 29 49 59 203 413 1421 1711 2891 11977 83839 11951519 83660633 346594051 585624431 705139621 2426158357 4935977347 16983108499 20449049009 34551841429 143143343063 1002003401441