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14432534142040 = 2357113456148361
BaseRepresentation
bin1101001000000101011000…
…0100100001110001011000
31220002201220010012222111001
43102001112010201301120
53342430312220021130
650410114210514344
73016500436035460
oct322012604416130
956081803188431
1014432534142040
1146648922a4483
1217511565959b4
13808c9c97bbc1
1437c777456ba0
151a0653b426ca
hexd2056121c58

14432534142040 has 64 divisors (see below), whose sum is σ = 37440657552960. Its totient is φ = 4904507166720.

The previous prime is 14432534142001. The next prime is 14432534142041. The reversal of 14432534142040 is 4024143523441.

It is a happy number.

It is a super-2 number, since 2×144325341420402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14432534142041) 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, 228042541 + ... + 228105820.

It is an arithmetic number, because the mean of its divisors is an integer number (585010274265).

Almost surely, 214432534142040 is an apocalyptic number.

14432534142040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14432534142040 is an abundant number, since it is smaller than the sum of its proper divisors (23008123410920).

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

14432534142040 is a wasteful number, since it uses less digits than its factorization.

14432534142040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456148492 (or 456148488 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

Adding to 14432534142040 its reverse (4024143523441), we get a palindrome (18456677665481).

The spelling of 14432534142040 in words is "fourteen trillion, four hundred thirty-two billion, five hundred thirty-four million, one hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 452 565 791 904 1130 1582 2260 3164 3955 4520 6328 7910 15820 31640 456148361 912296722 1824593444 2280741805 3193038527 3649186888 4561483610 6386077054 9122967220 12772154108 15965192635 18245934440 25544308216 31930385270 51544764793 63860770540 103089529586 127721541080 206179059172 257723823965 360813353551 412358118344 515447647930 721626707102 1030895295860 1443253414204 1804066767755 2061790591720 2886506828408 3608133535510 7216267071020 14432534142040