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42000141144 = 23313612206817
BaseRepresentation
bin100111000111011001…
…110100101101011000
311000102001200020100010
4213013121310231120
51142004014004034
631143344441520
73014542211043
oct470731645530
9130361606303
1042000141144
11168a2a91755
1281819192a0
133c64578c30
1420660a1c5a
15115c3c63e9
hex9c7674b58

42000141144 has 64 divisors (see below), whose sum is σ = 114931081440. Its totient is φ = 12711260160.

The previous prime is 42000141121. The next prime is 42000141149. The reversal of 42000141144 is 44114100024.

It is a super-2 number, since 2×420001411442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42000141144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42000141149) 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, 1084377 + ... + 1122440.

Almost surely, 242000141144 is an apocalyptic number.

It is an amenable number.

42000141144 is an abundant number, since it is smaller than the sum of its proper divisors (72930940296).

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

42000141144 is a wasteful number, since it uses less digits than its factorization.

42000141144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206900 (or 2206896 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 42000141144 its reverse (44114100024), we get a palindrome (86114241168).

The spelling of 42000141144 in words is "forty-two billion, one hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 366 488 732 793 1464 1586 2379 3172 4758 6344 9516 19032 2206817 4413634 6620451 8827268 13240902 17654536 26481804 28688621 52963608 57377242 86065863 114754484 134615837 172131726 229508968 269231674 344263452 403847511 538463348 688526904 807695022 1076926696 1615390044 1750005881 3230780088 3500011762 5250017643 7000023524 10500035286 14000047048 21000070572 42000141144