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13810073340 = 22357223147449
BaseRepresentation
bin11001101110010010…
…01111111011111100
31022122110002102011210
430313021033323330
5211240334321330
610202205444420
7666140454330
oct146711177374
938573072153
1013810073340
115947476558
122814b70710
1313c117093b
149501977c0
1555c6188b0
hex33724fefc

13810073340 has 96 divisors (see below), whose sum is σ = 44390707200. Its totient is φ = 3142411776.

The previous prime is 13810073339. The next prime is 13810073353. The reversal of 13810073340 is 4337001831.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13810073298 and 13810073307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19936 + ... + 167384.

It is an arithmetic number, because the mean of its divisors is an integer number (462403200).

Almost surely, 213810073340 is an apocalyptic number.

13810073340 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 13810073340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22195353600).

13810073340 is an abundant number, since it is smaller than the sum of its proper divisors (30580633860).

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

13810073340 is a wasteful number, since it uses less digits than its factorization.

13810073340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147691 (or 147689 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 13810073340 in words is "thirteen billion, eight hundred ten million, seventy-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 223 420 446 669 892 1115 1338 1561 2230 2676 3122 3345 4460 4683 6244 6690 7805 9366 13380 15610 18732 23415 31220 46830 93660 147449 294898 442347 589796 737245 884694 1032143 1474490 1769388 2064286 2211735 2948980 3096429 4128572 4423470 5160715 6192858 8846940 10321430 12385716 15482145 20642860 30964290 32881127 61928580 65762254 98643381 131524508 164405635 197286762 230167889 328811270 394573524 460335778 493216905 657622540 690503667 920671556 986433810 1150839445 1381007334 1972867620 2301678890 2762014668 3452518335 4603357780 6905036670 13810073340