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11400104324442 = 23171631091628487
BaseRepresentation
bin1010010111100100101100…
…1010110010110101011010
31111100211122212112021112110
42211321023022302311122
52443234403201340232
640125045143453150
72254426132630251
oct245711312626532
944324585467473
1011400104324442
1136a5836766859
1213414bba571b6
1364904355b322
142b5aa7533798
1514b82230dacc
hexa5e4b2b2d5a

11400104324442 has 64 divisors (see below), whose sum is σ = 24311806331904. Its totient is φ = 3551297852160.

The previous prime is 11400104324437. The next prime is 11400104324447. The reversal of 11400104324442 is 24442340100411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11400104324437) and next prime (11400104324447).

It is a super-2 number, since 2×114001043244422 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11400104324447) 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 31 ways as a sum of consecutive naturals, for example, 17824723 + ... + 18453209.

It is an arithmetic number, because the mean of its divisors is an integer number (379871973936).

Almost surely, 211400104324442 is an apocalyptic number.

11400104324442 is an abundant number, since it is smaller than the sum of its proper divisors (12911702007462).

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

11400104324442 is a wasteful number, since it uses less digits than its factorization.

11400104324442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629763.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 11400104324442 its reverse (24442340100411), we get a palindrome (35842444424853).

The spelling of 11400104324442 in words is "eleven trillion, four hundred billion, one hundred four million, three hundred twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 17 34 51 102 163 326 489 978 1091 2182 2771 3273 5542 6546 8313 16626 18547 37094 55641 111282 177833 355666 533499 628487 1066998 1256974 1885461 3023161 3770922 6046322 9069483 10684279 18138966 21368558 32052837 64105674 102443381 204886762 307330143 614660286 685679317 1371358634 1741537477 2057037951 3483074954 4114075902 5224612431 10449224862 11656548389 23313096778 34969645167 69939290334 111765728671 223531457342 335297186013 670594372026 1900017387407 3800034774814 5700052162221 11400104324442