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31144216306424 = 23134173569175843
BaseRepresentation
bin1110001010011010100111…
…11100110010001011111000
311002021100122222112121210112
413011031103330302023320
513040231323333301144
6150123242213403452
76363044466462134
oct705152374621370
9132240588477715
1031144216306424
119a182081a4551
1235abb5b039588
13144bb6b964940
14799560da03c4
153901ec4b299e
hex1c5353f322f8

31144216306424 has 128 divisors (see below), whose sum is σ = 65418821294400. Its totient is φ = 13807170109440.

The previous prime is 31144216306417. The next prime is 31144216306451. The reversal of 31144216306424 is 42460361244113.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177025847 + ... + 177201689.

Almost surely, 231144216306424 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 31144216306424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32709410647200).

31144216306424 is an abundant number, since it is smaller than the sum of its proper divisors (34274604987976).

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

31144216306424 is a wasteful number, since it uses less digits than its factorization.

31144216306424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176545 (or 176541 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 31144216306424 in words is "thirty-one trillion, one hundred forty-four billion, two hundred sixteen million, three hundred six thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 41 52 73 82 104 146 164 292 328 533 569 584 949 1066 1138 1898 2132 2276 2993 3796 4264 4552 5986 7397 7592 11972 14794 23329 23944 29588 38909 41537 46658 59176 77818 83074 93316 155636 166148 175843 186632 303277 311272 332296 351686 539981 606554 703372 1079962 1213108 1406744 1703017 2159924 2285959 2426216 3406034 4319848 4571918 6812068 7209563 9143836 12836539 13624136 14419126 18287672 22139221 25673078 28838252 44278442 51346156 57676504 88556884 93724319 100054667 102692312 166875007 177113768 187448638 200109334 333750014 374897276 400218668 526298099 667500028 749794552 800437336 1052596198 1300710671 1335000056 2105192396 2601421342 4102241347 4210384792 5202842684 6841875287 7303990691 8204482694 10405685368 13683750574 14607981382 16408965388 27367501148 29215962764 32817930776 53329137511 54735002296 58431925528 94951878983 106658275022 189903757966 213316550044 299463618331 379807515932 426633100088 598927236662 759615031864 1197854473324 2395708946648 3893027038303 7786054076606 15572108153212 31144216306424