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234114444100 = 22522381983261
BaseRepresentation
bin1101101000001001001…
…1101110101101000100
3211101021211122000010001
43122002103232231010
512313431244202400
6255314541011044
722625400640465
oct3320223565504
9741254560101
10234114444100
1190318555a59
1239458553a84
13190ccc35a84
14b48cb50d6c
1561533cca6a
hex36824eeb44

234114444100 has 36 divisors (see below), whose sum is σ = 508242228228. Its totient is φ = 93606352000.

The previous prime is 234114444077. The next prime is 234114444103. The reversal of 234114444100 is 1444411432.

It can be written as a sum of positive squares in 6 ways, for example, as 136605638404 + 97508805696 = 369602^2 + 312264^2 .

It is not an unprimeable number, because it can be changed into a prime (234114444103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253531 + ... + 729730.

It is an arithmetic number, because the mean of its divisors is an integer number (14117839673).

Almost surely, 2234114444100 is an apocalyptic number.

234114444100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234114444100 is an abundant number, since it is smaller than the sum of its proper divisors (274127784128).

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

234114444100 is a wasteful number, since it uses less digits than its factorization.

234114444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985656 (or 985649 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 234114444100 its reverse (1444411432), we get a palindrome (235558855532).

The spelling of 234114444100 in words is "two hundred thirty-four billion, one hundred fourteen million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2381 4762 9524 11905 23810 47620 59525 119050 238100 983261 1966522 3933044 4916305 9832610 19665220 24581525 49163050 98326100 2341144441 4682288882 9364577764 11705722205 23411444410 46822888820 58528611025 117057222050 234114444100