Search a number
-
+
42053077000 = 2353113823007
BaseRepresentation
bin100111001010100011…
…110000100000001000
311000112202021122200101
4213022203300200020
51142111041431000
631152515215144
73016054154014
oct471243604010
9130482248611
1042053077000
111691a9581a0
1281975a74b4
133c7252171c
14206d121544
151161d80e6a
hex9ca8f0808

42053077000 has 64 divisors (see below), whose sum is σ = 107350064640. Its totient is φ = 15292024000.

The previous prime is 42053076971. The next prime is 42053077007. The reversal of 42053077000 is 77035024.

It is a super-2 number, since 2×420530770002 (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 42053077000.

It is not an unprimeable number, because it can be changed into a prime (42053077007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1900504 + ... + 1922503.

It is an arithmetic number, because the mean of its divisors is an integer number (1677344760).

Almost surely, 242053077000 is an apocalyptic number.

42053077000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42053077000 is an abundant number, since it is smaller than the sum of its proper divisors (65296987640).

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

42053077000 is a wasteful number, since it uses less digits than its factorization.

42053077000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823039 (or 3823025 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The spelling of 42053077000 in words is "forty-two billion, fifty-three million, seventy-seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 3823007 7646014 15292028 19115035 30584056 38230070 42053077 76460140 84106154 95575175 152920280 168212308 191150350 210265385 336424616 382300700 420530770 477875875 764601400 841061540 955751750 1051326925 1682123080 1911503500 2102653850 3823007000 4205307700 5256634625 8410615400 10513269250 21026538500 42053077000