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23234342401104 = 2432323072980541
BaseRepresentation
bin1010100100001101010101…
…01110011011010001010000
310001021011220021022012102220
411102012222232123101100
511021132413123313404
6121225413132341040
74615424443563252
oct522065256332120
9101234807265386
1023234342401104
1174486a162718a
122732b7a314780
13cc6cb2041ab3
145a4796283cd2
152a45a29d54d9
hex1521aab9b450

23234342401104 has 120 divisors (see below), whose sum is σ = 62949571615392. Its totient is φ = 7383918263040.

The previous prime is 23234342401091. The next prime is 23234342401121. The reversal of 23234342401104 is 40110424343232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6305074 + ... + 9285614.

Almost surely, 223234342401104 is an apocalyptic number.

23234342401104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23234342401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31474785807696).

23234342401104 is an abundant number, since it is smaller than the sum of its proper divisors (39715229214288).

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

23234342401104 is a wasteful number, since it uses less digits than its factorization.

23234342401104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980905 (or 2980876 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 23234342401104 its reverse (40110424343232), we get a palindrome (63344766744336).

The spelling of 23234342401104 in words is "twenty-three trillion, two hundred thirty-four billion, three hundred forty-two million, four hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 307 368 529 552 614 921 1058 1104 1228 1587 1842 2116 2456 3174 3684 4232 4912 6348 7061 7368 8464 12696 14122 14736 21183 25392 28244 42366 56488 84732 112976 162403 169464 324806 338928 487209 649612 974418 1299224 1948836 2598448 2980541 3897672 5961082 7795344 8941623 11922164 17883246 23844328 35766492 47688656 68552443 71532984 137104886 143065968 205657329 274209772 411314658 548419544 822629316 915026087 1096839088 1576706189 1645258632 1830052174 2745078261 3153412378 3290517264 3660104348 4730118567 5490156522 6306824756 7320208696 9460237134 10980313044 12613649512 14640417392 18920474268 21045600001 21960626088 25227299024 37840948536 42091200002 43921252176 63136800003 75681897072 84182400004 126273600006 168364800008 252547200012 336729600016 484048800023 505094400024 968097600046 1010188800048 1452146400069 1936195200092 2904292800138 3872390400184 5808585600276 7744780800368 11617171200552 23234342401104