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131412042344 = 231129432414969
BaseRepresentation
bin111101001100011000…
…1001010001001101000
3110120012022221102120102
41322120301022021220
54123112440323334
6140211520044532
712331340633612
oct1723061121150
9416168842512
10131412042344
1150805743480
1221575763748
13c5135ab64b
146508c33db2
153641cd667e
hex1e98c4a268

131412042344 has 128 divisors (see below), whose sum is σ = 285771024000. Its totient is φ = 56086732800.

The previous prime is 131412042343. The next prime is 131412042367. The reversal of 131412042344 is 443240214131.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (131412042343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26443892 + ... + 26448860.

It is an arithmetic number, because the mean of its divisors is an integer number (2232586125).

Almost surely, 2131412042344 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 131412042344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142885512000).

131412042344 is an abundant number, since it is smaller than the sum of its proper divisors (154358981656).

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

131412042344 is a wasteful number, since it uses less digits than its factorization.

131412042344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5299 (or 5295 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 131412042344 its reverse (443240214131), we get a palindrome (574652256475).

The spelling of 131412042344 in words is "one hundred thirty-one billion, four hundred twelve million, forty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 29 43 44 58 86 88 116 172 232 241 319 344 473 482 638 946 964 1247 1276 1892 1928 2494 2552 2651 3784 4969 4988 5302 6989 9938 9976 10363 10604 13717 13978 19876 20726 21208 27434 27956 39752 41452 54659 54868 55912 76879 82904 109318 109736 113993 144101 153758 213667 218636 227986 288202 300527 307516 427334 437272 455972 576404 601054 615032 854668 911944 1152808 1197529 1202108 1585111 1709336 2350337 2395058 2404216 3170222 3305797 4700674 4790116 6196343 6340444 6611594 9401348 9580232 12392686 12680888 13172819 13223188 18802696 24785372 26345638 26446376 34728341 49570744 51493747 52691276 68159773 69456682 102987494 105382552 136319546 138913364 205974988 272639092 277826728 382011751 411949976 545278184 566431217 764023502 1132862434 1493318663 1528047004 2265724868 2986637326 3056094008 4531449736 5973274652 11946549304 16426505293 32853010586 65706021172 131412042344