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40227722731760 = 24517233139740961
BaseRepresentation
bin10010010010110001111110…
…00111111010000011110000
312021102201210011102101102212
421021120333013322003300
520233042334004404020
6221320205524431252
711321233320242414
oct1111307707720360
9167381704371385
1040227722731760
11118aa532824a33
12461849ab48528
13195a5c5235515
149d10643b2d44
1549b636dd8cc5
hex24963f1fa0f0

40227722731760 has 160 divisors (see below), whose sum is σ = 103342706036352. Its totient is φ = 14485280522240.

The previous prime is 40227722731741. The next prime is 40227722731813. The reversal of 40227722731760 is 6713722772204.

40227722731760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40227722731699 and 40227722731708.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 982077680 + ... + 982118640.

Almost surely, 240227722731760 is an apocalyptic number.

40227722731760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40227722731760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51671353018176).

40227722731760 is an abundant number, since it is smaller than the sum of its proper divisors (63114983304592).

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

40227722731760 is a wasteful number, since it uses less digits than its factorization.

40227722731760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72411 (or 72405 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 50.

The spelling of 40227722731760 in words is "forty trillion, two hundred twenty-seven billion, seven hundred twenty-two million, seven hundred thirty-one thousand, seven hundred sixty".

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 7820 15640 31280 31397 40961 62794 81922 125588 156985 163844 204805 251176 313970 327688 409610 502352 533749 627940 655376 696337 722131 819220 942103 1067498 1255880 1392674 1444262 1638440 1884206 2134996 2511760 2668745 2785348 2888524 3276880 3481685 3610655 3768412 4269992 4710515 5337490 5570696 5777048 6963370 7221310 7536824 8539984 9421030 10674980 11141392 11554096 12276227 13926740 14442620 15073648 16015751 18842060 21349960 24552454 27853480 28885240 32031502 37684120 42699920 49104908 55706960 57770480 61381135 64063004 75368240 80078755 98209816 122762270 128126008 160157510 196419632 245524540 256252016 320315020 491049080 640630040 982098160 1281260080 1286052517 2572105034 5144210068 6430262585 10288420136 12860525170 20576840272 21862892789 25721050340 29579207891 43725785578 51442100680 59158415782 87451571156 102884201360 109314463945 118316831564 147896039455 174903142312 218628927890 236633663128 295792078910 349806284624 437257855780 473267326256 502846534147 591584157820 874515711560 1005693068294 1183168315640 1749031423120 2011386136588 2366336631280 2514232670735 4022772273176 5028465341470 8045544546352 10056930682940 20113861365880 40227722731760