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2330031400144 = 24771641457117
BaseRepresentation
bin100001111010000000101…
…100011010010011010000
322020202012220011001222121
4201322000230122103100
5301133401014301034
64542222431144024
7330224231056030
oct41720054322320
98222186131877
102330031400144
11819184a88548
123176aa975014
1313b94b100426
1480aba2918c0
1540921e191b4
hex21e80b1a4d0

2330031400144 has 80 divisors (see below), whose sum is σ = 5240195963136. Its totient is φ = 982982246400.

The previous prime is 2330031400141. The next prime is 2330031400181. The reversal of 2330031400144 is 4410041300332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330031400141) 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, 4868674 + ... + 5325790.

Almost surely, 22330031400144 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 2330031400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620097981568).

2330031400144 is an abundant number, since it is smaller than the sum of its proper divisors (2910164562992).

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

2330031400144 is a wasteful number, since it uses less digits than its factorization.

2330031400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457844 (or 457838 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 2330031400144 its reverse (4410041300332), we get a palindrome (6740072700476).

The spelling of 2330031400144 in words is "two trillion, three hundred thirty billion, thirty-one million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 641 994 1136 1282 1988 2564 3976 4487 5128 7952 8974 10256 17948 35896 45511 71792 91022 182044 318577 364088 457117 637154 728176 914234 1274308 1828468 2548616 3199819 3656936 5097232 6399638 7313872 12799276 25598552 32455307 51197104 64910614 129821228 227187149 259642456 293011997 454374298 519284912 586023994 908748596 1172047988 1817497192 2051083979 2344095976 3634994384 4102167958 4688191952 8204335916 16408671832 20803851787 32817343664 41607703574 83215407148 145626962509 166430814296 291253925018 332861628592 582507850036 1165015700072 2330031400144