Search a number
-
+
13423400105520 = 2435347161183959
BaseRepresentation
bin1100001101010110000011…
…1111101011011000110000
31202112021010211111102110010
43003111200333223120300
53224412110411334040
644314342550134520
72553544240203366
oct303254077533060
952467124442403
1013423400105520
114305917459779
121609665651440
13764a8a233232
143459a5ca7636
15184290574e80
hexc3560feb630

13423400105520 has 80 divisors (see below), whose sum is σ = 41732461451520. Its totient is φ = 3569257565952.

The previous prime is 13423400105519. The next prime is 13423400105551. The reversal of 13423400105520 is 2550100432431.

13423400105520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-5 number, since 5×134234001055205 (a number of 67 digits) contains 55555 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80508700 + ... + 80675259.

It is an arithmetic number, because the mean of its divisors is an integer number (521655768144).

Almost surely, 213423400105520 is an apocalyptic number.

13423400105520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13423400105520 is an abundant number, since it is smaller than the sum of its proper divisors (28309061346000).

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

13423400105520 is a wasteful number, since it uses less digits than its factorization.

13423400105520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161184322 (or 161184316 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 13423400105520 its reverse (2550100432431), we get a palindrome (15973500537951).

The spelling of 13423400105520 in words is "thirteen trillion, four hundred twenty-three billion, four hundred million, one hundred five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 347 694 1041 1388 1735 2082 2776 3470 4164 5205 5552 6940 8328 10410 13880 16656 20820 27760 41640 83280 161183959 322367918 483551877 644735836 805919795 967103754 1289471672 1611839590 1934207508 2417759385 2578943344 3223679180 3868415016 4835518770 6447358360 7736830032 9671037540 12894716720 19342075080 38684150160 55930833773 111861667546 167792501319 223723335092 279654168865 335585002638 447446670184 559308337730 671170005276 838962506595 894893340368 1118616675460 1342340010552 1677925013190 2237233350920 2684680021104 3355850026380 4474466701840 6711700052760 13423400105520