Search a number
-
+
544522451440 = 24511976379129
BaseRepresentation
bin1111110110010000001…
…00010011100111110000
31221001111201001120211111
413323020010103213300
532410140221421230
61054052233523104
754224526316642
oct7731004234760
91831451046744
10544522451440
1119aa26801210
1289647573494
133c46b137cb6
141c4d82a2892
15e26e69092a
hex7ec81139f0

544522451440 has 80 divisors (see below), whose sum is σ = 1395345379680. Its totient is φ = 195966812160.

The previous prime is 544522451381. The next prime is 544522451443. The reversal of 544522451440 is 44154225445.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 544522451393 and 544522451402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544522451443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3104205 + ... + 3274924.

It is an arithmetic number, because the mean of its divisors is an integer number (17441817246).

Almost surely, 2544522451440 is an apocalyptic number.

It is an amenable number.

544522451440 is an abundant number, since it is smaller than the sum of its proper divisors (850822928240).

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

544522451440 is a wasteful number, since it uses less digits than its factorization.

544522451440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6379250 (or 6379244 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 40.

Adding to 544522451440 its reverse (44154225445), we get a palindrome (588676676885).

The spelling of 544522451440 in words is "five hundred forty-four billion, five hundred twenty-two million, four hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 97 110 176 194 220 388 440 485 776 880 970 1067 1552 1940 2134 3880 4268 5335 7760 8536 10670 17072 21340 42680 85360 6379129 12758258 25516516 31895645 51033032 63791290 70170419 102066064 127582580 140340838 255165160 280681676 350852095 510330320 561363352 618775513 701704190 1122726704 1237551026 1403408380 2475102052 2806816760 3093877565 4950204104 5613633520 6187755130 6806530643 9900408208 12375510260 13613061286 24751020520 27226122572 34032653215 49502041040 54452245144 68065306430 108904490288 136130612860 272261225720 544522451440