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11054435653140 = 22351121522649539
BaseRepresentation
bin1010000011011100111110…
…1101011101011000010100
31110010210102121221101010220
42200313033231131120110
52422103441011400030
635302200532314340
72220441135456405
oct240671755353024
943123377841126
1011054435653140
113582183812900
1212a65101729b0
1362257612abb9
142a30750219ac
1514284067ba10
hexa0dcfb5d614

11054435653140 has 72 divisors (see below), whose sum is σ = 34022081321760. Its totient is φ = 2679863186880.

The previous prime is 11054435653127. The next prime is 11054435653147. The reversal of 11054435653140 is 4135653445011.

It is a junction number, because it is equal to n+sod(n) for n = 11054435653092 and 11054435653101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11054435653147) 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 23 ways as a sum of consecutive naturals, for example, 761317510 + ... + 761332029.

Almost surely, 211054435653140 is an apocalyptic number.

11054435653140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11054435653140 is an abundant number, since it is smaller than the sum of its proper divisors (22967645668620).

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

11054435653140 is a wasteful number, since it uses less digits than its factorization.

11054435653140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522649573 (or 1522649560 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 11054435653140 in words is "eleven trillion, fifty-four billion, four hundred thirty-five million, six hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 1522649539 3045299078 4567948617 6090598156 7613247695 9135897234 15226495390 16749144929 18271794468 22839743085 30452990780 33498289858 45679486170 50247434787 66996579716 83745724645 91358972340 100494869574 167491449290 184240594219 200989739148 251237173935 334982898580 368481188438 502474347870 552721782657 736962376876 921202971095 1004948695740 1105443565314 1842405942190 2210887130628 2763608913285 3684811884380 5527217826570 11054435653140