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20230401112434 = 23219471559807299
BaseRepresentation
bin1001001100110010000011…
…10111110011100101110010
32122122000012102210201100100
410212121001313303211302
510122423330141044214
6111005415025333230
74155412125121512
oct446310167634562
978560172721310
1020230401112434
11649a735027a47
122328954497216
13b39945b08a26
144dd229b5b842
1525138c267309
hex126641df3972

20230401112434 has 96 divisors (see below), whose sum is σ = 47151486720000. Its totient is φ = 6248602770912.

The previous prime is 20230401112349. The next prime is 20230401112447. The reversal of 20230401112434 is 43421110403202.

20230401112434 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 0 + 401 + 11 + 243 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20230401112398 and 20230401112407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24655717 + ... + 25463015.

It is an arithmetic number, because the mean of its divisors is an integer number (491161320000).

Almost surely, 220230401112434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20230401112434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23575743360000).

20230401112434 is an abundant number, since it is smaller than the sum of its proper divisors (26921085607566).

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

20230401112434 is a wasteful number, since it uses less digits than its factorization.

20230401112434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808932 (or 808929 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 20230401112434 its reverse (43421110403202), we get a palindrome (63651511515636).

The spelling of 20230401112434 in words is "twenty trillion, two hundred thirty billion, four hundred one million, one hundred twelve thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 282 342 423 846 893 1559 1786 2679 3118 4677 5358 8037 9354 14031 16074 28062 29621 59242 73273 88863 146546 177726 219819 266589 439638 533178 659457 807299 1318914 1392187 1614598 2421897 2784374 4176561 4843794 7265691 8353122 12529683 14531382 15338681 25059366 30677362 37943053 46016043 75886106 92032086 113829159 138048129 227658318 276096258 341487477 682974954 720918007 1258579141 1441836014 2162754021 2517158282 3775737423 4325508042 6488262063 7551474846 11327212269 12976524126 22654424538 23913003679 47826007358 59153219627 71739011037 118306439254 143478022074 177459658881 215217033111 354919317762 430434066222 532378976643 1064757953286 1123911172913 2247822345826 3371733518739 6743467037478 10115200556217 20230401112434