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33230342201344 = 213311019128413
BaseRepresentation
bin1111000111001000010101…
…01111100010000000000000
311100122210022200110020210121
413203210022233202000000
513323421220100420334
6154401450343310024
76666545600142601
oct743441257420000
9140583280406717
1033230342201344
11a6519aa94a992
12388831a44b314
1315707b95089c2
1482c500009da8
153c95e6663db4
hex1e390abe2000

33230342201344 has 112 divisors (see below), whose sum is σ = 68668246183680. Its totient is φ = 16063293358080.

The previous prime is 33230342201239. The next prime is 33230342201369. The reversal of 33230342201344 is 44310224303233.

It is a super-2 number, since 2×332303422013442 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258712882 + ... + 258841294.

Almost surely, 233230342201344 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 33230342201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34334123091840).

33230342201344 is an abundant number, since it is smaller than the sum of its proper divisors (35437903982336).

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

33230342201344 is a wasteful number, since it uses less digits than its factorization.

33230342201344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129489 (or 129465 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 33230342201344 its reverse (44310224303233), we get a palindrome (77540566504577).

The spelling of 33230342201344 in words is "thirty-three trillion, two hundred thirty billion, three hundred forty-two million, two hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1019 1024 1984 2038 2048 3968 4076 4096 7936 8152 8192 15872 16304 31589 31744 32608 63178 63488 65216 126356 126976 128413 130432 252712 253952 256826 260864 505424 513652 521728 1010848 1027304 1043456 2021696 2054608 2086912 3980803 4043392 4109216 4173824 7961606 8086784 8218432 8347648 15923212 16173568 16436864 31846424 32347136 32873728 63692848 64694272 65747456 127385696 129388544 130852847 131494912 254771392 258777088 261705694 262989824 509542784 523411388 525979648 1019085568 1046822776 1051959296 2038171136 2093645552 4056438257 4076342272 4187291104 8112876514 8152684544 8374582208 16225753028 16305369088 16749164416 32451506056 32610738176 33498328832 64903012112 66996657664 129806024224 133993315328 259612048448 267986630656 519224096896 535973261312 1038448193792 1071946522624 2076896387584 4153792775168 8307585550336 16615171100672 33230342201344