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23241233214232 = 231114921124473433
BaseRepresentation
bin1010100100011010001010…
…11100110010101100011000
310001021211200111120202222221
411102031011130302230120
511021241021200323412
6121232513010353424
74616060265535405
oct522150534625430
9101254614522887
1023241233214232
117450608285070
122734381b8b874
13cc783c838807
145a4c4b4db2ac
152a4857932b07
hex152345732b18

23241233214232 has 128 divisors (see below), whose sum is σ = 48118416768000. Its totient is φ = 10436256230400.

The previous prime is 23241233214223. The next prime is 23241233214259.

It is a happy number.

23241233214232 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6769946788 + ... + 6769950220.

It is an arithmetic number, because the mean of its divisors is an integer number (375925131000).

Almost surely, 223241233214232 is an apocalyptic number.

23241233214232 is a gapful number since it is divisible by the number (22) 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 23241233214232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24059208384000).

23241233214232 is an abundant number, since it is smaller than the sum of its proper divisors (24877183553768).

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

23241233214232 is a wasteful number, since it uses less digits than its factorization.

23241233214232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6257 (or 6253 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 2324123 and 3214232, that added together give a palindrome (5538355).

The spelling of 23241233214232 in words is "twenty-three trillion, two hundred forty-one billion, two hundred thirty-three million, two hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 149 211 298 422 596 844 1192 1639 1688 2321 2447 3278 3433 4642 4894 6556 6866 9284 9788 13112 13732 18568 19576 26917 27464 31439 37763 53834 62878 75526 107668 125756 151052 215336 251512 302104 345829 364603 511517 516317 691658 724363 729206 1023034 1032634 1383316 1448726 1458412 2046068 2065268 2766632 2897452 2916824 4010633 4092136 4130536 5626687 5679487 5794904 7967993 8021266 8400551 11253374 11358974 15935986 16042532 16801102 22506748 22717948 31871972 32085064 33602204 45013496 45435896 63743944 67204408 76931233 92406061 107930087 153862466 184812122 215860174 307724932 369624244 431720348 615449864 739248488 846243563 863440696 1187230957 1251682099 1692487126 1772516261 2374461914 2503364198 3384974252 3545032522 4748923828 5006728396 6769948504 7090065044 9497847656 10013456792 13768503089 14180130088 19497678871 27537006178 38995357742 55074012356 77990715484 110148024712 155981430968 264104922889 528209845778 1056419691556 2112839383112 2905154151779 5810308303558 11620616607116 23241233214232