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311243141132424 = 233219721943255861
BaseRepresentation
bin100011011000100101111000…
…0110111011011000010001000
31111211000112221122112112210100
41012301023300313123002020
5311243401423112214144
63021543043010045400
7122362401120331614
oct10661136067330210
91454015848475710
10311243141132424
1190198525093986
122aaa900a279860
13104891438c7717
1456c03698c0344
1525eb235ae5269
hex11b12f0ddb088

311243141132424 has 48 divisors (see below), whose sum is σ = 847229108831820. Its totient is φ = 103221075565440.

The previous prime is 311243141132423. The next prime is 311243141132471. The reversal of 311243141132424 is 424231141342113.

311243141132424 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 4 + 314 + 11 + 324 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 309848639940324 + 1394501192100 = 17602518^2 + 1180890^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (311243141132423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10971613747 + ... + 10971642114.

Almost surely, 2311243141132424 is an apocalyptic number.

It is an amenable number.

311243141132424 is an abundant number, since it is smaller than the sum of its proper divisors (535985967699396).

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

311243141132424 is a wasteful number, since it uses less digits than its factorization.

311243141132424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21943256070 (or 21943256063 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 311243141132424 its reverse (424231141342113), we get a palindrome (735474282474537).

The spelling of 311243141132424 in words is "three hundred eleven trillion, two hundred forty-three billion, one hundred forty-one million, one hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 197 394 591 788 1182 1576 1773 2364 3546 4728 7092 14184 21943255861 43886511722 65829767583 87773023444 131659535166 175546046888 197489302749 263319070332 394978605498 526638140664 789957210996 1579914421992 4322821404617 8645642809234 12968464213851 17291285618468 25936928427702 34582571236936 38905392641553 51873856855404 77810785283106 103747713710808 155621570566212 311243141132424