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14344211454040 = 2351371388521437
BaseRepresentation
bin1101000010111100010110…
…1000001101100001011000
31212210021220202111112212101
43100233011220031201120
53340003421113012130
650301350105053144
73010222634421406
oct320570550154130
955707822445771
1014344211454040
11463038945a756
1217380074871b4
138008654c1440
14378399216476
1519d1d4b871ca
hexd0bc5a0d858

14344211454040 has 64 divisors (see below), whose sum is σ = 35246664855360. Its totient is φ = 5221728099840.

The previous prime is 14344211454031. The next prime is 14344211454047. The reversal of 14344211454040 is 4045411244341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14344211454047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194223799 + ... + 194297638.

It is an arithmetic number, because the mean of its divisors is an integer number (550729138365).

Almost surely, 214344211454040 is an apocalyptic number.

14344211454040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14344211454040 is an abundant number, since it is smaller than the sum of its proper divisors (20902453401320).

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

14344211454040 is a wasteful number, since it uses less digits than its factorization.

14344211454040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388521532 (or 388521528 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

Adding to 14344211454040 its reverse (4045411244341), we get a palindrome (18389622698381).

The spelling of 14344211454040 in words is "fourteen trillion, three hundred forty-four billion, two hundred eleven million, four hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 260 284 355 520 568 710 923 1420 1846 2840 3692 4615 7384 9230 18460 36920 388521437 777042874 1554085748 1942607185 3108171496 3885214370 5050778681 7770428740 10101557362 15540857480 20203114724 25253893405 27585022027 40406229448 50507786810 55170044054 101015573620 110340088108 137925110135 202031147240 220680176216 275850220270 358605286351 551700440540 717210572702 1103400881080 1434421145404 1793026431755 2868842290808 3586052863510 7172105727020 14344211454040