Search a number
-
+
30132114144 = 2531197294167
BaseRepresentation
bin11100000100000000…
…111001001011100000
32212202221212222220120
4130010000321023200
5443202310123034
621501551440240
72114462513166
oct340400711340
985687788816
1030132114144
111186287a380
125a0b226080
132ac2870c52
14165bbd9236
15bb5523c49
hex7040392e0

30132114144 has 96 divisors (see below), whose sum is σ = 87177275136. Its totient is φ = 9036779520.

The previous prime is 30132114139. The next prime is 30132114169. The reversal of 30132114144 is 44141123103.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 44652 + ... + 249515.

It is an arithmetic number, because the mean of its divisors is an integer number (908096616).

Almost surely, 230132114144 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 30132114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43588637568).

30132114144 is an abundant number, since it is smaller than the sum of its proper divisors (57045160992).

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

30132114144 is a wasteful number, since it uses less digits than its factorization.

30132114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294288 (or 294280 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 30132114144 its reverse (44141123103), we get a palindrome (74273237247).

The spelling of 30132114144 in words is "thirty billion, one hundred thirty-two million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 97 132 176 194 264 291 352 388 528 582 776 1056 1067 1164 1552 2134 2328 3104 3201 4268 4656 6402 8536 9312 12804 17072 25608 34144 51216 102432 294167 588334 882501 1176668 1765002 2353336 3235837 3530004 4706672 6471674 7060008 9413344 9707511 12943348 14120016 19415022 25886696 28240032 28534199 38830044 51773392 57068398 77660088 85602597 103546784 114136796 155320176 171205194 228273592 310640352 313876189 342410388 456547184 627752378 684820776 913094368 941628567 1255504756 1369641552 1883257134 2511009512 2739283104 3766514268 5022019024 7533028536 10044038048 15066057072 30132114144