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31243342424 = 237171012931109
BaseRepresentation
bin11101000110001111…
…111001001001011000
32222122101212020112112
4131012033321021120
51002441243424144
622204125131452
72154145012610
oct350617711130
988571766475
1031243342424
1112283063658
12607b3b9b88
132c3bb53588
14172561ba40
15c2cd7699e
hex7463f9258

31243342424 has 128 divisors (see below), whose sum is σ = 71899228800. Its totient is φ = 12423782400.

The previous prime is 31243342423. The next prime is 31243342447. The reversal of 31243342424 is 42424334213.

It is a super-2 number, since 2×312433424242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31243342423) 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, 28171982 + ... + 28173090.

It is an arithmetic number, because the mean of its divisors is an integer number (561712725).

Almost surely, 231243342424 is an apocalyptic number.

31243342424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31243342424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35949614400).

31243342424 is an abundant number, since it is smaller than the sum of its proper divisors (40655886376).

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

31243342424 is a wasteful number, since it uses less digits than its factorization.

31243342424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1529 counting only the distinct ones).

The product of its digits is 55296, while the sum is 32.

Adding to 31243342424 its reverse (42424334213), we get a palindrome (73667676637).

The spelling of 31243342424 in words is "thirty-one billion, two hundred forty-three million, three hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 101 119 136 202 238 293 404 476 586 707 808 952 1109 1172 1414 1717 2051 2218 2344 2828 3434 4102 4436 4981 5656 6868 7763 8204 8872 9962 12019 13736 15526 16408 18853 19924 24038 29593 31052 34867 37706 39848 48076 59186 62104 69734 75412 96152 112009 118372 131971 139468 150824 207151 224018 236744 263942 278936 324937 414302 448036 503081 527884 649874 784063 828604 896072 1006162 1055768 1299748 1568126 1657208 1904153 2012324 2274559 2599496 3136252 3521567 3808306 4024648 4549118 5523929 6272504 7043134 7616612 9098236 11047858 13329071 14086268 15233224 18196472 22095716 26658142 28172536 32818637 38667503 44191432 53316284 65637274 77335006 106632568 131274548 154670012 229730459 262549096 309340024 459460918 557916829 918921836 1115833658 1837843672 2231667316 3905417803 4463334632 7810835606 15621671212 31243342424