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230433334032 = 243111609271241
BaseRepresentation
bin1101011010011011100…
…1011010001100010000
3211000210021222020102010
43112212321122030100
512233411413142112
6253505402022520
722435232010246
oct3264671321420
9730707866363
10230433334032
11897a9678530
12387ab7a7a40
13189643c7235
14b21dcca796
155eda14863c
hex35a6e5a310

230433334032 has 80 divisors (see below), whose sum is σ = 649809034560. Its totient is φ = 69784627200.

The previous prime is 230433334003. The next prime is 230433334081.

It is a happy number.

230433334032 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 713932 + ... + 985172.

It is an arithmetic number, because the mean of its divisors is an integer number (8122612932).

Almost surely, 2230433334032 is an apocalyptic number.

230433334032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230433334032 is an abundant number, since it is smaller than the sum of its proper divisors (419375700528).

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

230433334032 is a wasteful number, since it uses less digits than its factorization.

230433334032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272872 (or 272866 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 30.

It can be divided in two parts, 230433 and 334032, that added together give a palindrome (564465).

The spelling of 230433334032 in words is "two hundred thirty billion, four hundred thirty-three million, three hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1609 3218 4827 6436 9654 12872 17699 19308 25744 35398 38616 53097 70796 77232 106194 141592 212388 271241 283184 424776 542482 813723 849552 1084964 1627446 2169928 2983651 3254892 4339856 5967302 6509784 8950953 11934604 13019568 17901906 23869208 35803812 47738416 71607624 143215248 436426769 872853538 1309280307 1745707076 2618560614 3491414152 4800694459 5237121228 6982828304 9601388918 10474242456 14402083377 19202777836 20948484912 28804166754 38405555672 57608333508 76811111344 115216667016 230433334032