Search a number
-
+
2310130344432 = 243475557184271
BaseRepresentation
bin100001100111011110011…
…111111010000111110000
322011211211221210200210010
4201213132133322013300
5300322121332010212
64525131554334520
7325621116636321
oct41473637720760
98154757720703
102310130344432
118107a2399869
12313875b8a440
13139ac9089911
147db4d1a4448
1540159be503c
hex219de7fa1f0

2310130344432 has 80 divisors (see below), whose sum is σ = 6095941834752. Its totient is φ = 753519832320.

The previous prime is 2310130344413. The next prime is 2310130344451. The reversal of 2310130344432 is 2344430310132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2310130344413) and next prime (2310130344451).

It is a self number, because there is not a number n which added to its sum of digits gives 2310130344432.

It is a congruent number.

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, 12444457 + ... + 12628727.

Almost surely, 22310130344432 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 2310130344432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047970917376).

2310130344432 is an abundant number, since it is smaller than the sum of its proper divisors (3785811490320).

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

2310130344432 is a wasteful number, since it uses less digits than its factorization.

2310130344432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189886 (or 189880 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 2310130344432 its reverse (2344430310132), we get a palindrome (4654560654564).

It can be divided in two parts, 2310130 and 344432, that added together give a palindrome (2654562).

The spelling of 2310130344432 in words is "two trillion, three hundred ten billion, one hundred thirty million, three hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 5557 11114 16671 22228 33342 44456 66684 88912 133368 184271 261179 266736 368542 522358 552813 737084 783537 1044716 1105626 1474168 1567074 2089432 2211252 2948336 3134148 4178864 4422504 6268296 8660737 8845008 12536592 17321474 25982211 34642948 51964422 69285896 103928844 138571792 207857688 415715376 1023993947 2047987894 3071981841 4095975788 6143963682 8191951576 12287927364 16383903152 24575854728 48127715509 49151709456 96255431018 144383146527 192510862036 288766293054 385021724072 577532586108 770043448144 1155065172216 2310130344432