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14434202040340 = 2252334199973751
BaseRepresentation
bin1101001000001011100101…
…1111000011100000010100
31220002220012100122222211011
43102002321133003200110
53342442221210242330
650410551511422004
73016556660656645
oct322027137034024
956086170588734
1014434202040340
114665568831125
121751541084904
138091a7398984
1437c894b836cc
151a07002a482a
hexd20b97c3814

14434202040340 has 48 divisors (see below), whose sum is σ = 30443055552000. Its totient is φ = 5748686240000.

The previous prime is 14434202040317. The next prime is 14434202040343. The reversal of 14434202040340 is 4304020243441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14434202040343) 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, 195678465 + ... + 195752215.

It is an arithmetic number, because the mean of its divisors is an integer number (634230324000).

Almost surely, 214434202040340 is an apocalyptic number.

14434202040340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14434202040340 is an abundant number, since it is smaller than the sum of its proper divisors (16008853511660).

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

14434202040340 is a wasteful number, since it uses less digits than its factorization.

14434202040340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115992 (or 115990 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 14434202040340 its reverse (4304020243441), we get a palindrome (18738222283781).

The spelling of 14434202040340 in words is "fourteen trillion, four hundred thirty-four billion, two hundred two million, forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 233 466 932 1165 2330 4660 41999 73751 83998 147502 167996 209995 295004 368755 419990 737510 839980 1475020 9785767 17183983 19571534 34367966 39143068 48928835 68735932 85919915 97857670 171839830 195715340 343679660 3097468249 6194936498 12389872996 15487341245 30974682490 61949364980 721710102017 1443420204034 2886840408068 3608550510085 7217101020170 14434202040340