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233440141343032 = 231373139772328643
BaseRepresentation
bin110101000101000000000100…
…101100110111100100111000
31010121112122210211011222012001
4311011000010230313210320
5221044140402140434112
62144252530452430344
7100112331214655551
oct6505000454674470
91117478724158161
10233440141343032
116842145401a638
122222231b0183b4
13a034406ca9330
1441907c530b328
151bec4a90abc57
hexd45004b37938

233440141343032 has 128 divisors (see below), whose sum is σ = 481343354553600. Its totient is φ = 105483846454272.

The previous prime is 233440141343023. The next prime is 233440141343051. The reversal of 233440141343032 is 230343141044332.

It is a junction number, because it is equal to n+sod(n) for n = 233440141342982 and 233440141343000.

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, 8149974903 + ... + 8150003545.

It is an arithmetic number, because the mean of its divisors is an integer number (3760494957450).

Almost surely, 2233440141343032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233440141343032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240671677276800).

233440141343032 is an abundant number, since it is smaller than the sum of its proper divisors (247903213210568).

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

233440141343032 is a wasteful number, since it uses less digits than its factorization.

233440141343032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36597 (or 36593 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 233440141343032 its reverse (230343141044332), we get a palindrome (463783282387364).

The spelling of 233440141343032 in words is "two hundred thirty-three trillion, four hundred forty billion, one hundred forty-one million, three hundred forty-three thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 73 104 139 146 278 292 556 584 949 1112 1807 1898 3614 3796 7228 7592 7723 10147 14456 15446 20294 28643 30892 40588 57286 61784 81176 100399 114572 131911 200798 229144 263822 372359 401596 527644 563779 744718 803192 1055288 1073497 1127558 1489436 2090939 2146994 2255116 2978872 3981377 4181878 4293988 4510232 7329127 7962754 8363756 8587976 13955461 14658254 15925508 16727512 27182207 27910922 29316508 31851016 51757901 54364414 55821844 58633016 78365281 103515802 108728828 111643688 156730562 207031604 217457656 221209889 290640521 313461124 414063208 442419778 581281042 626922248 884839556 1018748653 1162562084 1769679112 2037497306 2325124168 2875728557 3778326773 4074994612 5751457114 7556653546 8149989224 11502914228 15113307092 16148321897 23005828456 30226614184 30748174571 32296643794 61496349142 64593287588 122992698284 129186575176 209928184661 245985396568 399726269423 419856369322 799452538846 839712738644 1598905077692 1679425477288 2244616743683 3197810155384 4489233487366 8978466974732 17956933949464 29180017667879 58360035335758 116720070671516 233440141343032