Search a number
-
+
13463956064240 = 2451167043228211
BaseRepresentation
bin1100001111101101001001…
…0100011000011111110000
31202200010211020200120221022
43003323102110120133300
53231043140223023430
644345131145115012
72556511245154163
oct303732224303760
952603736616838
1013463956064240
114321039214830
1216154a3788a68
13768851531246
14347932235ada
15185365c7a4e5
hexc3ed25187f0

13463956064240 has 80 divisors (see below), whose sum is σ = 34150147572096. Its totient is φ = 4895889542400.

The previous prime is 13463956064233. The next prime is 13463956064257. The reversal of 13463956064240 is 4246065936431.

13463956064240 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-2 number, since 2×134639560642402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 58883735 + ... + 59111945.

Almost surely, 213463956064240 is an apocalyptic number.

13463956064240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13463956064240 is an abundant number, since it is smaller than the sum of its proper divisors (20686191507856).

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

13463956064240 is a wasteful number, since it uses less digits than its factorization.

13463956064240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295278 (or 295272 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 53.

The spelling of 13463956064240 in words is "thirteen trillion, four hundred sixty-three billion, nine hundred fifty-six million, sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 67043 134086 228211 268172 335215 456422 536344 670430 737473 912844 1072688 1141055 1340860 1474946 1825688 2282110 2510321 2681720 2949892 3651376 3687365 4564220 5020642 5363440 5899784 7374730 9128440 10041284 11799568 12551605 14749460 18256880 20082568 25103210 29498920 40165136 50206420 58997840 100412840 200825680 15299950073 30599900146 61199800292 76499750365 122399600584 152999500730 168299450803 244799201168 305999001460 336598901606 611998002920 673197803212 841497254015 1223996005840 1346395606424 1682994508030 2692791212848 3365989016060 6731978032120 13463956064240