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33143033144 = 23135347912553
BaseRepresentation
bin11110110111011110…
…101000110100111000
310011112210110112022002
4132313132220310320
51020334104030034
623120430120132
72252213063534
oct366736506470
9104483415262
1033143033144
1113068418391
12650b650048
1331825a9420
141865a44bc4
15cdea22e7e
hex7b77a8d38

33143033144 has 64 divisors (see below), whose sum is σ = 68333932800. Its totient is φ = 14975640576.

The previous prime is 33143033117. The next prime is 33143033149. The reversal of 33143033144 is 44133034133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33143033149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2633972 + ... + 2646524.

It is an arithmetic number, because the mean of its divisors is an integer number (1067717700).

Almost surely, 233143033144 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 33143033144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34166966400).

33143033144 is an abundant number, since it is smaller than the sum of its proper divisors (35190899656).

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

33143033144 is a wasteful number, since it uses less digits than its factorization.

33143033144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13104 (or 13100 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 33143033144 its reverse (44133034133), we get a palindrome (77276067277).

The spelling of 33143033144 in words is "thirty-three billion, one hundred forty-three million, thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 424 479 689 958 1378 1916 2756 3832 5512 6227 12454 12553 24908 25106 25387 49816 50212 50774 100424 101548 163189 203096 326378 330031 652756 660062 665309 1305512 1320124 1330618 2640248 2661236 5322472 6012887 8649017 12025774 17298034 24051548 34596068 48103096 69192136 78167531 156335062 312670124 318683011 625340248 637366022 1274732044 2549464088 4142879143 8285758286 16571516572 33143033144