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33430043230232 = 231110119333757829
BaseRepresentation
bin1111001100111100010011…
…10110100000000000011000
311101100212210012011122000212
413212132021312200000120
513340204212031331412
6155033314433350252
710020145430653655
oct746361166400030
9141325705148025
1033430043230232
11a71966897a720
1238bab71a08388
1315865938ca49c
14838046504c2c
153ce8d372e222
hex1e6789da0018

33430043230232 has 128 divisors (see below), whose sum is σ = 69621648033600. Its totient is φ = 14922399744000.

The previous prime is 33430043230201. The next prime is 33430043230271. The reversal of 33430043230232 is 23203234003433.

It is a super-2 number, since 2×334300432302322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578055494 + ... + 578113322.

Almost surely, 233430043230232 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 33430043230232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34810824016800).

33430043230232 is an abundant number, since it is smaller than the sum of its proper divisors (36191604803368).

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

33430043230232 is a wasteful number, since it uses less digits than its factorization.

33430043230232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58477 (or 58473 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 32.

Adding to 33430043230232 its reverse (23203234003433), we get a palindrome (56633277233665).

The spelling of 33430043230232 in words is "thirty-three trillion, four hundred thirty billion, forty-three million, two hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 101 193 202 337 386 404 674 772 808 1111 1348 1544 2123 2222 2696 3707 4246 4444 7414 8492 8888 14828 16984 19493 29656 34037 38986 57829 65041 68074 77972 115658 130082 136148 155944 214423 231316 260164 272296 374407 428846 462632 520328 636119 715451 748814 857692 1272238 1430902 1497628 1715384 2544476 2861804 2995256 5088952 5723608 5840729 6569141 11160997 11681458 13138282 19488373 22321994 23362916 26276564 38976746 44643988 46725832 52553128 64248019 72260551 77953492 89287976 122770967 128496038 144521102 155906984 214372103 245541934 256992076 289042204 428744206 491083868 513984152 578084408 857488412 982167736 1127260697 1714976824 1968325673 2254521394 3761255989 3936651346 4509042788 7522511978 7873302692 9018085576 12399867667 15045023956 15746605384 21651582403 24799735334 30090047912 41373815879 43303164806 49599470668 82747631758 86606329612 99198941336 165495263516 173212659224 330990527032 379886854889 759773709778 1519547419556 3039094839112 4178755403779 8357510807558 16715021615116 33430043230232