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1110400013140 = 2251188123472441
BaseRepresentation
bin10000001010001000111…
…111111001001101010100
310221011010200112011201121
4100022020333321031110
5121143044400410030
62210035525533324
7143136514244365
oct20121077711524
93834120464647
101110400013140
11398a1094a880
1215b252874244
138093060ccc2
143ba5a7d5b6c
151dd3da2647a
hex10288ff9354

1110400013140 has 96 divisors (see below), whose sum is σ = 2548841758848. Its totient is φ = 402986496000.

The previous prime is 1110400013131. The next prime is 1110400013147. The reversal of 1110400013140 is 413100040111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110400013147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454894320 + ... + 454896760.

It is an arithmetic number, because the mean of its divisors is an integer number (26550434988).

Almost surely, 21110400013140 is an apocalyptic number.

1110400013140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110400013140 is an abundant number, since it is smaller than the sum of its proper divisors (1438441745708).

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

1110400013140 is a wasteful number, since it uses less digits than its factorization.

1110400013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1110400013140 its reverse (413100040111), we get a palindrome (1523500053251).

The spelling of 1110400013140 in words is "one trillion, one hundred ten billion, four hundred million, thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 881 1762 2347 2441 3524 4405 4694 4882 8810 9388 9691 9764 11735 12205 17620 19382 23470 24410 25817 26851 38764 46940 48455 48820 51634 53702 96910 103268 107404 129085 134255 193820 258170 268510 516340 537020 2067707 2150521 4135414 4301042 5729027 8270828 8602084 10338535 10752605 11458054 20677070 21505210 22744777 22916108 23655731 28645135 41354140 43010420 45489554 47311462 57290270 63019297 90979108 94622924 113723885 114580540 118278655 126038594 227447770 236557310 252077188 315096485 454895540 473114620 630192970 1260385940 5047272787 10094545574 20189091148 25236363935 50472727870 55520000657 100945455740 111040001314 222080002628 277600003285 555200006570 1110400013140