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13802994540 = 2234559144413
BaseRepresentation
bin11001101101011100…
…01111101101101100
31022121221202202220000
430312232033231230
5211232031311130
610201354024300
7666023342406
oct146656175554
938557682800
1013802994540
115943481105
122812718090
1313bc8628ba
1494d273b76
1555bbbb260
hex336b8fb6c

13802994540 has 120 divisors (see below), whose sum is σ = 44034716880. Its totient is φ = 3618387072.

The previous prime is 13802994529. The next prime is 13802994553. The reversal of 13802994540 is 4549920831.

13802994540 is a `hidden beast` number, since 1 + 3 + 80 + 29 + 9 + 4 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23374 + ... + 167786.

It is an arithmetic number, because the mean of its divisors is an integer number (366955974).

Almost surely, 213802994540 is an apocalyptic number.

13802994540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13802994540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22017358440).

13802994540 is an abundant number, since it is smaller than the sum of its proper divisors (30231722340).

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

13802994540 is a wasteful number, since it uses less digits than its factorization.

13802994540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144493 (or 144482 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13802994540 in words is "thirteen billion, eight hundred two million, nine hundred ninety-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 81 90 108 118 135 162 177 180 236 270 295 324 354 405 531 540 590 708 810 885 1062 1180 1593 1620 1770 2124 2655 3186 3540 4779 5310 6372 7965 9558 10620 15930 19116 23895 31860 47790 95580 144413 288826 433239 577652 722065 866478 1299717 1444130 1732956 2166195 2599434 2888260 3899151 4332390 5198868 6498585 7798302 8520367 8664780 11697453 12997170 15596604 17040734 19495755 23394906 25561101 25994340 34081468 38991510 42601835 46789812 51122202 58487265 76683303 77983020 85203670 102244404 116974530 127805505 153366606 170407340 230049909 233949060 255611010 306733212 383416515 460099818 511222020 690149727 766833030 920199636 1150249545 1380299454 1533666060 2300499090 2760598908 3450748635 4600998180 6901497270 13802994540