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34020143144 = 23131672278629
BaseRepresentation
bin11111101011110000…
…100011000000101000
310020210220220100000122
4133223300203000220
51024133124040034
623343441422412
72313023305541
oct375360430050
9106726810018
1034020143144
1113478536089
12671533aa08
13329221a120
14190a3234c8
15d41a2c62e
hex7ebc23028

34020143144 has 64 divisors (see below), whose sum is σ = 69418339200. Its totient is φ = 15537026304.

The previous prime is 34020143063. The next prime is 34020143159. The reversal of 34020143144 is 44134102043.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3938222 + ... + 3946850.

It is an arithmetic number, because the mean of its divisors is an integer number (1084661550).

Almost surely, 234020143144 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 34020143144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34709169600).

34020143144 is an abundant number, since it is smaller than the sum of its proper divisors (35398196056).

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

34020143144 is a wasteful number, since it uses less digits than its factorization.

34020143144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9042 (or 9038 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34020143144 its reverse (44134102043), we get a palindrome (78154245187).

The spelling of 34020143144 in words is "thirty-four billion, twenty million, one hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 167 227 334 454 668 908 1336 1816 2171 2951 4342 5902 8629 8684 11804 17258 17368 23608 34516 37909 69032 75818 112177 151636 224354 303272 448708 492817 897416 985634 1441043 1958783 1971268 2882086 3917566 3942536 5764172 7835132 11528344 15670264 18733559 25464179 37467118 50928358 74934236 101856716 149868472 203713432 327116761 654233522 1308467044 2616934088 4252517893 8505035786 17010071572 34020143144