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13654014444 = 2232727740371
BaseRepresentation
bin11001011011101011…
…11011100111101100
31022020120102210121200
430231311323213230
5210430411430234
610134512525500
7662234131200
oct145565734754
938216383550
1013654014444
115877376164
122790850890
131397a2ccb5
14937572b00
1554da8dd99
hex32dd7b9ec

13654014444 has 54 divisors (see below), whose sum is σ = 40149309564. Its totient is φ = 3901146480.

The previous prime is 13654014401. The next prime is 13654014461. The reversal of 13654014444 is 44441045631.

13654014444 is a `hidden beast` number, since 1 + 36 + 540 + 1 + 44 + 44 = 666.

It is a super-2 number, since 2×136540144442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13654014399 and 13654014408.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3868422 + ... + 3871949.

Almost surely, 213654014444 is an apocalyptic number.

13654014444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13654014444 is an abundant number, since it is smaller than the sum of its proper divisors (26495295120).

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

13654014444 is a wasteful number, since it uses less digits than its factorization.

13654014444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7740395 (or 7740383 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 13654014444 in words is "thirteen billion, six hundred fifty-four million, fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 7740371 15480742 23221113 30961484 46442226 54182597 69663339 92884452 108365194 139326678 162547791 216730388 278653356 325095582 379278179 487643373 650191164 758556358 975286746 1137834537 1517112716 1950573492 2275669074 3413503611 4551338148 6827007222 13654014444