Search a number
-
+
30045135015324 = 223211132448944101
BaseRepresentation
bin1101101010011011011011…
…00110011000110110011100
310221101021202010012002202100
412311031231212120312130
512414224414030442244
6143522313335125100
76220455311604162
oct665155546306634
9127337663162670
1030045135015324
119634085494110
123452b46b13790
13139c323303900
1475c299923232
153718224d6b69
hex1b536d998d9c

30045135015324 has 108 divisors (see below), whose sum is σ = 89715193567272. Its totient is φ = 8404233552000.

The previous prime is 30045135015323. The next prime is 30045135015341. The reversal of 30045135015324 is 42351053154003.

30045135015324 is a `hidden beast` number, since 3 + 0 + 0 + 451 + 3 + 50 + 153 + 2 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30045135015323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 224405127 + ... + 224538974.

It is an arithmetic number, because the mean of its divisors is an integer number (830696236734).

Almost surely, 230045135015324 is an apocalyptic number.

It is an amenable number.

30045135015324 is an abundant number, since it is smaller than the sum of its proper divisors (59670058551948).

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

30045135015324 is a wasteful number, since it uses less digits than its factorization.

30045135015324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448944148 (or 448944130 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 30045135015324 its reverse (42351053154003), we get a palindrome (72396188169327).

The spelling of 30045135015324 in words is "thirty trillion, forty-five billion, one hundred thirty-five million, fifteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 169 198 234 286 338 396 429 468 507 572 676 858 1014 1287 1521 1716 1859 2028 2574 3042 3718 5148 5577 6084 7436 11154 16731 22308 33462 66924 448944101 897888202 1346832303 1795776404 2693664606 4040496909 4938385111 5387329212 5836273313 8080993818 9876770222 11672546626 14815155333 16161987636 17508819939 19753540444 23345093252 29630310666 35017639878 44445465999 52526459817 59260621332 64199006443 70035279756 75871553069 88890931998 105052919634 128398012886 151743106138 177781863996 192597019329 210105839268 227614659207 256796025772 303486212276 385194038658 455229318414 577791057987 682843977621 770388077316 834587083759 910458636828 1155582115974 1365687955242 1669174167518 2311164231948 2503761251277 2731375910484 3338348335036 5007522502554 7511283753831 10015045005108 15022567507662 30045135015324