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233242340035312 = 241731151463395657
BaseRepresentation
bin110101000010000111110110…
…110100110000101011110000
31010120211202020201010102111001
4311002013312310300223300
5221032420303022112222
62144022015104131344
7100062126422413246
oct6502076664605360
91116752221112431
10233242340035312
11683555803754a3
12221abb17906b54
13a01b87335150a
144184dbd246796
151be727db96e27
hexd421f6d30af0

233242340035312 has 160 divisors (see below), whose sum is σ = 498271098322944. Its totient is φ = 105288809472000.

The previous prime is 233242340035267. The next prime is 233242340035381. The reversal of 233242340035312 is 213530043242332.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 589308588 + ... + 589704244.

Almost surely, 2233242340035312 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 233242340035312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249135549161472).

233242340035312 is an abundant number, since it is smaller than the sum of its proper divisors (265028758287632).

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

233242340035312 is a wasteful number, since it uses less digits than its factorization.

233242340035312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396327 (or 396321 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 37.

Adding to 233242340035312 its reverse (213530043242332), we get a palindrome (446772383277644).

The spelling of 233242340035312 in words is "two hundred thirty-three trillion, two hundred forty-two billion, three hundred forty million, thirty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 151 248 272 302 463 496 527 604 926 1054 1208 1852 2108 2416 2567 3704 4216 4681 5134 7408 7871 8432 9362 10268 14353 15742 18724 20536 28706 31484 37448 41072 57412 62968 69913 74896 79577 114824 125936 139826 159154 229648 244001 279652 318308 395657 488002 559304 636616 791314 976004 1118608 1188521 1273232 1582628 1952008 2167303 2377042 3165256 3904016 4334606 4754084 6330512 6726169 8669212 9508168 12265367 13452338 17338424 19016336 24530734 26904676 34676848 36844151 49061468 53809352 59744207 73688302 98122936 107618704 119488414 147376604 183189191 196245872 208511239 238976828 294753208 366378382 417022478 477953656 589506416 732756764 834044956 955907312 1015651519 1465513528 1668089912 1852070417 2031303038 2931027056 3114216247 3336179824 3704140834 4062606076 5678864921 6228432494 7408281668 8125212152 11357729842 12456864988 14816563336 16250424304 22715459684 24913729976 27661567841 29633126672 31485197089 45430919368 49827459952 55323135682 62970394178 90861838736 96540703657 110646271364 125940788356 193081407314 221292542728 251881576712 386162814628 442585085456 470246653297 503763153424 772325629256 857508603071 940493306594 1544651258512 1715017206142 1880986613188 3430034412284 3761973226376 6860068824568 7523946452752 13720137649136 14577646252207 29155292504414 58310585008828 116621170017656 233242340035312