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42721324240 = 2457223473839
BaseRepresentation
bin100111110010011000…
…111010110011010000
311002021022201010120011
4213302120322303100
51144443124333430
631343110124304
73041450156500
oct476230726320
9132238633504
1042721324240
111713308a241
128343350694
13404aac40aa
1420d3b91a00
1511a088022a
hex9f263acd0

42721324240 has 120 divisors (see below), whose sum is σ = 120567640320. Its totient is φ = 14010441984.

The previous prime is 42721324199. The next prime is 42721324339. The reversal of 42721324240 is 4242312724.

42721324240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×427213242402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146760 + ... + 327079.

It is an arithmetic number, because the mean of its divisors is an integer number (1004730336).

Almost surely, 242721324240 is an apocalyptic number.

42721324240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42721324240 is an abundant number, since it is smaller than the sum of its proper divisors (77846316080).

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

42721324240 is a wasteful number, since it uses less digits than its factorization.

42721324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473889 (or 473876 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

Adding to 42721324240 its reverse (4242312724), we get a palindrome (46963636964).

The spelling of 42721324240 in words is "forty-two billion, seven hundred twenty-one million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 49 56 70 80 92 98 112 115 140 161 184 196 230 245 280 322 368 392 460 490 560 644 784 805 920 980 1127 1288 1610 1840 1960 2254 2576 3220 3920 4508 5635 6440 9016 11270 12880 18032 22540 45080 90160 473839 947678 1895356 2369195 3316873 3790712 4738390 6633746 7581424 9476780 10898297 13267492 16584365 18953560 21796594 23218111 26534984 33168730 37907120 43593188 46436222 53069968 54491485 66337460 76288079 87186376 92872444 108982970 116090555 132674920 152576158 174372752 185744888 217965940 232181110 265349840 305152316 371489776 381440395 435931880 464362220 534016553 610304632 762880790 871863760 928724440 1068033106 1220609264 1525761580 1857448880 2136066212 2670082765 3051523160 4272132424 5340165530 6103046320 8544264848 10680331060 21360662120 42721324240