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33336412140 = 2235177326133
BaseRepresentation
bin11111000011000000…
…010100011111101100
310012001021100012102010
4133003000110133230
51021233110142030
623151535001220
72260051553643
oct370300243754
9105037305363
1033336412140
1113157598939
126564369210
1331b3685b75
1418835c235a
15d019c06b0
hex7c30147ec

33336412140 has 144 divisors (see below), whose sum is σ = 100221414048. Its totient is φ = 8250826752.

The previous prime is 33336412139. The next prime is 33336412159. The reversal of 33336412140 is 4121463333.

It is a super-2 number, since 2×333364121402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33336412098 and 33336412107.

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 47 ways as a sum of consecutive naturals, for example, 5432514 + ... + 5438646.

It is an arithmetic number, because the mean of its divisors is an integer number (695982042).

Almost surely, 233336412140 is an apocalyptic number.

33336412140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33336412140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50110707024).

33336412140 is an abundant number, since it is smaller than the sum of its proper divisors (66885001908).

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

33336412140 is a wasteful number, since it uses less digits than its factorization.

33336412140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6308 (or 6233 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 33336412140 its reverse (4121463333), we get a palindrome (37457875473).

The spelling of 33336412140 in words is "thirty-three billion, three hundred thirty-six million, four hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 73 85 102 146 170 204 219 255 292 340 365 438 510 730 876 1020 1095 1241 1460 2190 2482 3723 4380 4964 5329 6133 6205 7446 10658 12266 12410 14892 15987 18399 18615 21316 24532 24820 26645 30665 31974 36798 37230 53290 61330 63948 73596 74460 79935 90593 91995 104261 106580 122660 159870 181186 183990 208522 271779 312783 319740 362372 367980 417044 447709 452965 521305 543558 625566 895418 905930 1042610 1087116 1251132 1343127 1358895 1563915 1790836 1811860 2085220 2238545 2686254 2717790 3127830 4477090 5372508 5435580 6255660 6715635 7611053 8954180 13431270 15222106 22833159 26862540 30444212 32682757 38055265 45666318 65365514 76110530 91332636 98048271 114165795 130731028 152221060 163413785 196096542 228331590 326827570 392193084 456663180 490241355 555606869 653655140 980482710 1111213738 1666820607 1960965420 2222427476 2778034345 3333641214 5556068690 6667282428 8334103035 11112137380 16668206070 33336412140