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5024451135440 = 24511149109335059
BaseRepresentation
bin100100100011101100010…
…1000000000011111010000
3122210022222122020111121002
41021013120220000133100
51124310033442313230
614404111225121132
71026001403661242
oct111073050003720
918708878214532
105024451135440
111667948751510
126919326291a8
132a5a5a997049
14135282c98092
158aa6e127545
hex491d8a007d0

5024451135440 has 160 divisors (see below), whose sum is σ = 12841468272000. Its totient is φ = 1813098792960.

The previous prime is 5024451135427. The next prime is 5024451135443. The reversal of 5024451135440 is 445311544205.

It is a junction number, because it is equal to n+sod(n) for n = 5024451135394 and 5024451135403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5024451135443) 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, 143296631 + ... + 143331689.

It is an arithmetic number, because the mean of its divisors is an integer number (80259176700).

Almost surely, 25024451135440 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 5024451135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6420734136000).

5024451135440 is an abundant number, since it is smaller than the sum of its proper divisors (7817017136560).

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

5024451135440 is a wasteful number, since it uses less digits than its factorization.

5024451135440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36325 (or 36319 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

Adding to 5024451135440 its reverse (445311544205), we get a palindrome (5469762679645).

The spelling of 5024451135440 in words is "five trillion, twenty-four billion, four hundred fifty-one million, one hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 149 176 220 298 440 596 745 880 1093 1192 1490 1639 2186 2384 2980 3278 4372 5465 5960 6556 8195 8744 10930 11920 12023 13112 16390 17488 21860 24046 26224 32780 35059 43720 48092 60115 65560 70118 87440 96184 120230 131120 140236 162857 175295 192368 240460 280472 325714 350590 385649 480920 560944 651428 701180 771298 814285 961840 1302856 1402360 1542596 1628570 1791427 1928245 2605712 2804720 3085192 3257140 3582854 3856490 5223791 6170384 6514280 7165708 7712980 8957135 10447582 13028560 14331416 15425960 17914270 20895164 26118955 28662832 30851920 35828540 38319487 41790328 52237910 57461701 71657080 76638974 83580656 104475820 114923402 143314160 153277948 191597435 208951640 229846804 287308505 306555896 383194870 417903280 421514357 459693608 574617010 613111792 766389740 843028714 919387216 1149234020 1532779480 1686057428 2107571785 2298468040 3065558960 3372114856 4215143570 4596936080 5709603563 6744229712 8430287140 11419207126 16860574280 22838414252 28548017815 33721148560 45676828504 57096035630 62805639193 91353657008 114192071260 125611278386 228384142520 251222556772 314028195965 456768285040 502445113544 628056391930 1004890227088 1256112783860 2512225567720 5024451135440