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4142743002132 = 2237132833371281
BaseRepresentation
bin111100010010001110101…
…110011001110000010100
3112200001010212211112012220
4330102032232121300110
51020333314202032012
612451052211542340
7605206014336150
oct74221656316024
915601125745186
104142743002132
111357a22472919
1256aa842ba9b0
13240874a4c2c7
1410471cd96060
1572b6790808c
hex3c48eb99c14

4142743002132 has 48 divisors (see below), whose sum is σ = 11047427594112. Its totient is φ = 1183628759040.

The previous prime is 4142743002113. The next prime is 4142743002191. The reversal of 4142743002132 is 2312003472414.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4142743002093 and 4142743002102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10972332 + ... + 11343612.

It is an arithmetic number, because the mean of its divisors is an integer number (230154741544).

Almost surely, 24142743002132 is an apocalyptic number.

4142743002132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4142743002132 is an abundant number, since it is smaller than the sum of its proper divisors (6904684591980).

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

4142743002132 is a wasteful number, since it uses less digits than its factorization.

4142743002132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504128 (or 504126 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

Adding to 4142743002132 its reverse (2312003472414), we get a palindrome (6454746474546).

The spelling of 4142743002132 in words is "four trillion, one hundred forty-two billion, seven hundred forty-three million, two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 132833 265666 371281 398499 531332 742562 796998 929831 1113843 1485124 1593996 1859662 2227686 2598967 2789493 3719324 4455372 5197934 5578986 7796901 10395868 11157972 15593802 31187604 49318369073 98636738146 147955107219 197273476292 295910214438 345228583511 591820428876 690457167022 1035685750533 1380914334044 2071371501066 4142743002132