Search a number
-
+
14341214453440 = 265755079116239
BaseRepresentation
bin1101000010110001001011…
…1111100011111011000000
31212210000011220010010221011
43100230102333203323000
53334431301400002230
650300132445010304
73010055443350340
oct320542277437300
955700156103834
1014341214453440
11462a090758856
12173750b853994
138004a861a1c4
14378193190d20
1519d0ab9d6e2a
hexd0b12fe3ec0

14341214453440 has 112 divisors (see below), whose sum is σ = 39029635123200. Its totient is φ = 4916856241152.

The previous prime is 14341214453407. The next prime is 14341214453441. The reversal of 14341214453440 is 4435441214341.

14341214453440 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 (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 14341214453393 and 14341214453402.

It is not an unprimeable number, because it can be changed into a prime (14341214453441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123318841 + ... + 123435079.

Almost surely, 214341214453440 is an apocalyptic number.

14341214453440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14341214453440 is an abundant number, since it is smaller than the sum of its proper divisors (24688420669760).

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

14341214453440 is a wasteful number, since it uses less digits than its factorization.

14341214453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171342 (or 171332 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

Adding to 14341214453440 its reverse (4435441214341), we get a palindrome (18776655667781).

The spelling of 14341214453440 in words is "fourteen trillion, three hundred forty-one billion, two hundred fourteen million, four hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 55079 110158 116239 220316 232478 275395 385553 440632 464956 550790 581195 771106 813673 881264 929912 1101580 1162390 1542212 1627346 1762528 1859824 1927765 2203160 2324780 3084424 3254692 3525056 3719648 3855530 4068365 4406320 4649560 6168848 6509384 7439296 7711060 8136730 8812640 9299120 12337696 13018768 15422120 16273460 17625280 18598240 24675392 26037536 30844240 32546920 37196480 52075072 61688480 65093840 123376960 130187680 260375360 6402327881 12804655762 25609311524 32011639405 44816295167 51218623048 64023278810 89632590334 102437246096 128046557620 179265180668 204874492192 224081475835 256093115240 358530361336 409748984384 448162951670 512186230480 717060722672 896325903340 1024372460960 1434121445344 1792651806680 2048744921920 2868242890688 3585303613360 7170607226720 14341214453440