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242134333400 = 235210733112799
BaseRepresentation
bin1110000110000001010…
…1001011011111011000
3212010222202110121000002
43201200111023133120
512431342342132100
6303122431032132
723331212606111
oct3414025133730
9763882417002
10242134333400
1193763578543
123ab1636b648
1319aaa620abb
14ba0dd15208
1564725062d5
hex386054b7d8

242134333400 has 48 divisors (see below), whose sum is σ = 563019768000. Its totient is φ = 96843850880.

The previous prime is 242134333379. The next prime is 242134333433. The reversal of 242134333400 is 4333431242.

It is a super-2 number, since 2×2421343334002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2090201 + ... + 2202999.

It is an arithmetic number, because the mean of its divisors is an integer number (11729578500).

Almost surely, 2242134333400 is an apocalyptic number.

242134333400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242134333400 is an abundant number, since it is smaller than the sum of its proper divisors (320885434600).

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

242134333400 is a wasteful number, since it uses less digits than its factorization.

242134333400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123548 (or 123539 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 242134333400 its reverse (4333431242), we get a palindrome (246467764642).

The spelling of 242134333400 in words is "two hundred forty-two billion, one hundred thirty-four million, three hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10733 21466 42932 53665 85864 107330 112799 214660 225598 268325 429320 451196 536650 563995 902392 1073300 1127990 2146600 2255980 2819975 4511960 5639950 11279900 22559800 1210671667 2421343334 4842686668 6053358335 9685373336 12106716670 24213433340 30266791675 48426866680 60533583350 121067166700 242134333400