Search a number
-
+
34543411344048 = 2432943577108583
BaseRepresentation
bin1111101101010110000111…
…10000110011001010110000
311112022022120201200221110010
413312223003300303022300
514011424401301002143
6201245005112134520
710163451635535165
oct766530360631260
9145268521627403
1034543411344048
1110008862182462
123a5a8b2697440
131637578103379
14875ca519c06c
153ed847ae7a33
hex1f6ac3c332b0

34543411344048 has 80 divisors (see below), whose sum is σ = 94461133029120. Its totient is φ = 10858875078912.

The previous prime is 34543411344031. The next prime is 34543411344053. The reversal of 34543411344048 is 84044311434543.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 34543411343988 and 34543411344006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288494436 + ... + 288614147.

It is an arithmetic number, because the mean of its divisors is an integer number (1180764162864).

Almost surely, 234543411344048 is an apocalyptic number.

It is an amenable number.

34543411344048 is an abundant number, since it is smaller than the sum of its proper divisors (59917721685072).

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

34543411344048 is a wasteful number, since it uses less digits than its factorization.

34543411344048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577108666 (or 577108660 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 48.

The spelling of 34543411344048 in words is "thirty-four trillion, five hundred forty-three billion, four hundred eleven million, three hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 43 48 58 86 87 116 129 172 174 232 258 344 348 464 516 688 696 1032 1247 1392 2064 2494 3741 4988 7482 9976 14964 19952 29928 59856 577108583 1154217166 1731325749 2308434332 3462651498 4616868664 6925302996 9233737328 13850605992 16736148907 24815669069 27701211984 33472297814 49631338138 50208446721 66944595628 74447007207 99262676276 100416893442 133889191256 148894014414 198525352552 200833786884 267778382512 297788028828 397050705104 401667573768 595576057656 719654403001 803335147536 1191152115312 1439308806002 2158963209003 2878617612004 4317926418006 5757235224008 8635852836012 11514470448016 17271705672024 34543411344048