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42145401440 = 255283930773
BaseRepresentation
bin100111010000000011…
…111100101001100000
311000210012000020000002
4213100003330221200
51142303210321230
631210014115132
73021255000332
oct472003745140
9130705006002
1042145401440
1116967a8698a
1282024abaa8
133c886a867c
14207b4b5452
15116a01b545
hex9d00fca60

42145401440 has 48 divisors (see below), whose sum is σ = 99920450448. Its totient is φ = 16798573056.

The previous prime is 42145401439. The next prime is 42145401479. The reversal of 42145401440 is 4410454124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420107 + ... + 510666.

It is an arithmetic number, because the mean of its divisors is an integer number (2081676051).

Almost surely, 242145401440 is an apocalyptic number.

42145401440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42145401440 is an abundant number, since it is smaller than the sum of its proper divisors (57775049008).

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

42145401440 is a wasteful number, since it uses less digits than its factorization.

42145401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931071 (or 931063 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 42145401440 its reverse (4410454124), we get a palindrome (46555855564).

The spelling of 42145401440 in words is "forty-two billion, one hundred forty-five million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 283 566 1132 1415 2264 2830 4528 5660 9056 11320 22640 45280 930773 1861546 3723092 4653865 7446184 9307730 14892368 18615460 29784736 37230920 74461840 148923680 263408759 526817518 1053635036 1317043795 2107270072 2634087590 4214540144 5268175180 8429080288 10536350360 21072700720 42145401440