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14213123021040 = 2435232574841127
BaseRepresentation
bin1100111011010100000000…
…1001100001100011110000
31212022202112222111011212020
43032311000021201203300
53330331433443133130
650121230225031440
72664602303215116
oct316650011414360
955282488434766
1014213123021040
11458a82a456819
121716722185580
137c13a3c88b18
14371cc137dab6
15199ab14c4e10
hexced402618f0

14213123021040 has 80 divisors (see below), whose sum is σ = 45976363181568. Its totient is φ = 3625376305408.

The previous prime is 14213123021039. The next prime is 14213123021047. The reversal of 14213123021040 is 4012032131241.

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

It is a super-2 number, since 2×142131230210402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14213123021040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14213123021047) 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, 1287415044 + ... + 1287426083.

Almost surely, 214213123021040 is an apocalyptic number.

14213123021040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14213123021040 is an abundant number, since it is smaller than the sum of its proper divisors (31763240160528).

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

14213123021040 is a wasteful number, since it uses less digits than its factorization.

14213123021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574841166 (or 2574841160 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14213123021040 its reverse (4012032131241), we get a palindrome (18225155152281).

The spelling of 14213123021040 in words is "fourteen trillion, two hundred thirteen billion, one hundred twenty-three million, twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 2574841127 5149682254 7724523381 10299364508 12874205635 15449046762 20598729016 25748411270 30898093524 38622616905 41197458032 51496822540 59221345921 61796187048 77245233810 102993645080 118442691842 123592374096 154490467620 177664037763 205987290160 236885383684 296106729605 308980935240 355328075526 473770767368 592213459210 617961870480 710656151052 888320188815 947541534736 1184426918420 1421312302104 1776640377630 2368853836840 2842624604208 3553280755260 4737707673680 7106561510520 14213123021040