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33430110140 = 22574127121491
BaseRepresentation
bin11111001000100101…
…101111111110111100
310012021210122112220102
4133020211233332330
51021431102011030
623205123140232
72262300150650
oct371045577674
9105253575812
1033430110140
11131a54755a9
12658b814678
1331c9c0107b
141891c12a60
15d09d2cc45
hex7c896ffbc

33430110140 has 96 divisors (see below), whose sum is σ = 82496268288. Its totient is φ = 11140416000.

The previous prime is 33430110083. The next prime is 33430110149. The reversal of 33430110140 is 4101103433.

It is a super-2 number, since 2×334301101402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33430110149) by changing a digit.

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, 1544795 + ... + 1566285.

It is an arithmetic number, because the mean of its divisors is an integer number (859336128).

Almost surely, 233430110140 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 33430110140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41248134144).

33430110140 is an abundant number, since it is smaller than the sum of its proper divisors (49066158148).

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

33430110140 is a wasteful number, since it uses less digits than its factorization.

33430110140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21819 (or 21817 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 33430110140 its reverse (4101103433), we get a palindrome (37531213573).

The spelling of 33430110140 in words is "thirty-three billion, four hundred thirty million, one hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 271 287 410 542 574 820 1084 1148 1355 1435 1897 2710 2870 3794 5420 5740 7588 9485 11111 18970 21491 22222 37940 42982 44444 55555 77777 85964 107455 111110 150437 155554 214910 222220 300874 311108 388885 429820 601748 752185 777770 881131 1504370 1555540 1762262 3008740 3524524 4405655 5824061 6167917 8811310 11648122 12335834 17622620 23296244 24671668 29120305 30839585 40768427 58240610 61679170 81536854 116481220 123358340 163073708 203842135 238786501 407684270 477573002 815368540 955146004 1193932505 1671505507 2387865010 3343011014 4775730020 6686022028 8357527535 16715055070 33430110140