Search a number
-
+
30437903706640 = 24517237459130457
BaseRepresentation
bin1101110101110111000000…
…11100000010101000010000
310222202211112211202221002121
412322323200130002220100
512442143311322103030
6144422551355224024
76261031425442453
oct672734034025020
9128684484687077
1030437903706640
119775708145241
1234b70a0448014
1313ca38873c171
147732b955749a
1537bb5e12547a
hex1baee0702a10

30437903706640 has 160 divisors (see below), whose sum is σ = 78199906671360. Its totient is φ = 10959205711872.

The previous prime is 30437903706601. The next prime is 30437903706653. The reversal of 30437903706640 is 4660730973403.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 233252292 + ... + 233382748.

It is an arithmetic number, because the mean of its divisors is an integer number (488749416696).

Almost surely, 230437903706640 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 30437903706640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39099953335680).

30437903706640 is an abundant number, since it is smaller than the sum of its proper divisors (47762002964720).

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

30437903706640 is a wasteful number, since it uses less digits than its factorization.

30437903706640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137969 (or 137963 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 52.

The spelling of 30437903706640 in words is "thirty trillion, four hundred thirty-seven billion, nine hundred three million, seven hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 680 782 920 1360 1564 1840 1955 3128 3910 6256 7459 7820 14918 15640 29836 31280 37295 59672 74590 119344 126803 130457 149180 171557 253606 260914 298360 343114 507212 521828 596720 634015 652285 686228 857785 1014424 1043656 1268030 1304570 1372456 1715570 2028848 2087312 2217769 2536060 2609140 2744912 2916469 3000511 3431140 4435538 5072120 5218280 5832938 6001022 6862280 8871076 10144240 10436560 11088845 11665876 12002044 13724560 14582345 15002555 17742152 22177690 23331752 24004088 29164690 30005110 35484304 44355380 46663504 48008176 51008687 58329380 60010220 88710760 102017374 116658760 120020440 177421520 204034748 233317520 240040880 255043435 408069496 510086870 816138992 973078763 1020173740 1946157526 2040347480 3892315052 4080694960 4865393815 7784630104 9730787630 15569260208 16542338971 19461575260 22380811549 33084677942 38923150520 44761623098 66169355884 77846301040 82711694855 89523246196 111904057745 132338711768 165423389710 179046492392 223808115490 264677423536 330846779420 358092984784 380473796333 447616230980 661693558840 760947592666 895232461960 1323387117680 1521895185332 1790464923920 1902368981665 3043790370664 3804737963330 6087580741328 7609475926660 15218951853320 30437903706640