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344040011231 = 7271347521547
BaseRepresentation
bin1010000000110100110…
…00011111010111011111
31012220000201222101210012
411000122120133113133
521114043220324411
6422014431233435
733566426562500
oct5003230372737
91186021871705
10344040011231
111229a76875a4
125681637887b
132659aba1557
141291a0baba7
158e38bc118b
hex501a61f5df

344040011231 has 48 divisors (see below), whose sum is σ = 408542890752. Its totient is φ = 288814780800.

The previous prime is 344040011219. The next prime is 344040011239. The reversal of 344040011231 is 132110040443.

It is not a de Polignac number, because 344040011231 - 214 = 344039994847 is a prime.

It is a super-2 number, since 2×3440400112312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 344040011197 and 344040011206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344040011239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628957700 + ... + 628958246.

It is an arithmetic number, because the mean of its divisors is an integer number (8511310224).

Almost surely, 2344040011231 is an apocalyptic number.

344040011231 is a deficient number, since it is larger than the sum of its proper divisors (64502879521).

344040011231 is a wasteful number, since it uses less digits than its factorization.

344040011231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 344040011231 its reverse (132110040443), we get a palindrome (476150051674).

The spelling of 344040011231 in words is "three hundred forty-four billion, forty million, eleven thousand, two hundred thirty-one".

Divisors: 1 7 49 71 347 497 521 547 2429 3479 3647 3829 17003 24637 25529 26803 36991 38837 172459 180787 189809 258937 271859 284987 1207213 1265509 1328663 1812559 1903013 1994909 8858563 9300641 12835877 13476439 13964363 20234077 89851139 94335073 98890489 141638539 628957973 660345511 692233423 991469773 4845633961 7021224719 49148573033 344040011231