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14340022413040 = 245614373671971
BaseRepresentation
bin1101000010101100101111…
…1100010010011011110000
31212202220002211002012220201
43100223023330102123300
53334421331214204130
650255414303244544
73010014060233032
oct320531374223360
955686084065821
1014340022413040
1146296298991a5
1217372385a9754
1380034868195c
143780bcb33c52
1519d03c01ebca
hexd0acbf126f0

14340022413040 has 80 divisors (see below), whose sum is σ = 33894918148896. Its totient is φ = 5640677452800.

The previous prime is 14340022412999. The next prime is 14340022413047. The reversal of 14340022413040 is 4031422004341.

14340022413040 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (14340022413047) 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, 21004255 + ... + 21676225.

Almost surely, 214340022413040 is an apocalyptic number.

14340022413040 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 14340022413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16947459074448).

14340022413040 is an abundant number, since it is smaller than the sum of its proper divisors (19554895735856).

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

14340022413040 is a wasteful number, since it uses less digits than its factorization.

14340022413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676418 (or 676412 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14340022413040 its reverse (4031422004341), we get a palindrome (18371444417381).

The spelling of 14340022413040 in words is "fourteen trillion, three hundred forty billion, twenty-two million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4373 4880 8746 17492 21865 34984 43730 69968 87460 174920 266753 349840 533506 671971 1067012 1333765 1343942 2134024 2667530 2687884 3359855 4268048 5335060 5375768 6719710 10670120 10751536 13439420 21340240 26878840 40990231 53757680 81980462 163960924 204951155 327921848 409902310 655843696 819804620 1639609240 2938529183 3279218480 5877058366 11754116732 14692645915 23508233464 29385291830 47016466928 58770583660 117541167320 179250280163 235082334640 358500560326 717001120652 896251400815 1434002241304 1792502801630 2868004482608 3585005603260 7170011206520 14340022413040