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1114143441424 = 241319541521107
BaseRepresentation
bin10000001101101000000…
…111111100001000010000
310221111210120110000221121
4100031220013330020100
5121223231210111144
62211455212332024
7143331340665436
oct20155007741020
93844716400847
101114143441424
1139a561a21962
1215bb18474014
13810a902aa20
143bcd3a3cd56
151deac4ba384
hex103681fc210

1114143441424 has 80 divisors (see below), whose sum is σ = 2451583852480. Its totient is φ = 486254430720.

The previous prime is 1114143441421. The next prime is 1114143441511. The reversal of 1114143441424 is 4241443414111.

It is a super-2 number, since 2×11141434414242 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1114143441424.

It is not an unprimeable number, because it can be changed into a prime (1114143441421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1877479 + ... + 2398585.

It is an arithmetic number, because the mean of its divisors is an integer number (30644798156).

Almost surely, 21114143441424 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 1114143441424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225791926240).

1114143441424 is an abundant number, since it is smaller than the sum of its proper divisors (1337440411056).

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

1114143441424 is a wasteful number, since it uses less digits than its factorization.

1114143441424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521688 (or 521682 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

Adding to 1114143441424 its reverse (4241443414111), we get a palindrome (5355586855535).

The spelling of 1114143441424 in words is "one trillion, one hundred fourteen billion, one hundred forty-three million, four hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 541 988 1082 1976 2164 3952 4328 7033 8656 10279 14066 20558 28132 41116 56264 82232 112528 133627 164464 267254 521107 534508 1042214 1069016 2084428 2138032 4168856 6774391 8337712 9901033 13548782 19802066 27097564 39604132 54195128 79208264 108390256 128713429 158416528 257426858 281918887 514853716 563837774 1029707432 1127675548 2059414864 2255351096 3664945531 4510702192 5356458853 7329891062 10712917706 14659782124 21425835412 29319564248 42851670824 58639128496 69633965089 85703341648 139267930178 278535860356 557071720712 1114143441424