Search a number
-
+
30214404243144 = 23321193714071017
BaseRepresentation
bin1101101111010110101101…
…10101001111111011001000
310221222110122210002210220100
412313223112311033323020
512430013044441240034
6144132150010125400
76235630050365202
oct667532665177310
9127873583083810
1030214404243144
119699947564330
12347b906a20860
1313b228aa36004
147665564d1772
15375e2cad2099
hex1b7ad6d4fec8

30214404243144 has 96 divisors (see below), whose sum is σ = 89279378828640. Its totient is φ = 9154900780800.

The previous prime is 30214404243139. The next prime is 30214404243151. The reversal of 30214404243144 is 44134240441203.

30214404243144 is a `hidden beast` number, since 3 + 0 + 2 + 1 + 4 + 404 + 243 + 1 + 4 + 4 = 666.

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 = 30214404243099 and 30214404243108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5386324 + ... + 9457340.

It is an arithmetic number, because the mean of its divisors is an integer number (929993529465).

Almost surely, 230214404243144 is an apocalyptic number.

It is an amenable number.

30214404243144 is an abundant number, since it is smaller than the sum of its proper divisors (59064974585496).

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

30214404243144 is a wasteful number, since it uses less digits than its factorization.

30214404243144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080411 (or 4080404 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 30214404243144 its reverse (44134240441203), we get a palindrome (74348644684347).

The spelling of 30214404243144 in words is "thirty trillion, two hundred fourteen billion, four hundred four million, two hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 9371 18742 28113 37484 56226 74968 84339 103081 112452 168678 206162 224904 309243 337356 412324 618486 674712 824648 927729 1236972 1855458 2473944 3710916 4071017 7421832 8142034 12213051 16284068 24426102 32568136 36639153 44781187 48852204 73278306 89562374 97704408 134343561 146556612 179124748 268687122 293113224 358249496 403030683 537374244 806061366 1074748488 1612122732 3224245464 38149500307 76299000614 114448500921 152598001228 228897001842 305196002456 343345502763 419644503377 457794003684 686691005526 839289006754 915588007368 1258933510131 1373382011052 1678578013508 2517867020262 2746764022104 3357156027016 3776800530393 5035734040524 7553601060786 10071468081048 15107202121572 30214404243144