Search a number
-
+
2314512440028 = 2233196191822181
BaseRepresentation
bin100001101011100011101…
…100010001101011011100
322012021011100111012212000
4201223203230101223130
5300410110141040103
64531134454042300
7326134530064245
oct41534354215334
98167140435760
102314512440028
11812640a2a078
12314699649390
1313a346bc12a9
148004717bccc
1540314793aa3
hex21ae3b11adc

2314512440028 has 96 divisors (see below), whose sum is σ = 6326615904000. Its totient is φ = 729717491520.

The previous prime is 2314512439991. The next prime is 2314512440029. The reversal of 2314512440028 is 8200442154132.

2314512440028 is a `hidden beast` number, since 231 + 4 + 5 + 12 + 4 + 400 + 2 + 8 = 666.

2314512440028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2314512439974 and 2314512440001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314512440029) 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, 359098 + ... + 2181278.

It is an arithmetic number, because the mean of its divisors is an integer number (65902249000).

Almost surely, 22314512440028 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 2314512440028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163307952000).

2314512440028 is an abundant number, since it is smaller than the sum of its proper divisors (4012103463972).

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

2314512440028 is a wasteful number, since it uses less digits than its factorization.

2314512440028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822832 (or 1822824 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 2314512440028 in words is "two trillion, three hundred fourteen billion, five hundred twelve million, four hundred forty thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 619 684 1026 1238 1857 2052 2476 3714 5571 7428 11142 11761 16713 22284 23522 33426 35283 47044 66852 70566 105849 141132 211698 317547 423396 635094 1270188 1822181 3644362 5466543 7288724 10933086 16399629 21866172 32799258 34621439 49198887 65598516 69242878 98397774 103864317 138485756 196795548 207728634 311592951 415457268 623185902 934778853 1127930039 1246371804 1869557706 2255860078 3383790117 3739115412 4511720156 6767580234 10151370351 13535160468 20302740702 21430670741 30454111053 40605481404 42861341482 60908222106 64292012223 85722682964 121816444212 128584024446 192876036669 257168048892 385752073338 578628110007 771504146676 1157256220014 2314512440028