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42010421220 = 223254143132383
BaseRepresentation
bin100111001000000001…
…000010011111100100
311000102210000111221200
4213020001002133210
51142014131434340
631144353042500
73015025455105
oct471001023744
9130383014850
1042010421220
11168a8873289
128185256430
133c66738111
1420675ba3ac
15115d257330
hex9c80427e4

42010421220 has 144 divisors (see below), whose sum is σ = 133576515072. Its totient is φ = 10675284480.

The previous prime is 42010421191. The next prime is 42010421231. The reversal of 42010421220 is 2212401024.

42010421220 is a `hidden beast` number, since 4 + 20 + 1 + 0 + 421 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42010421193 and 42010421202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251149 + ... + 383531.

It is an arithmetic number, because the mean of its divisors is an integer number (927614688).

Almost surely, 242010421220 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 42010421220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66788257536).

42010421220 is an abundant number, since it is smaller than the sum of its proper divisors (91566093852).

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

42010421220 is a wasteful number, since it uses less digits than its factorization.

42010421220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132482 (or 132477 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 42010421220 its reverse (2212401024), we get a palindrome (44222822244).

The spelling of 42010421220 in words is "forty-two billion, ten million, four hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 43 45 60 82 86 90 123 129 164 172 180 205 215 246 258 369 387 410 430 492 516 615 645 738 774 820 860 1230 1290 1476 1548 1763 1845 1935 2460 2580 3526 3690 3870 5289 7052 7380 7740 8815 10578 15867 17630 21156 26445 31734 35260 52890 63468 79335 105780 132383 158670 264766 317340 397149 529532 661915 794298 1191447 1323830 1588596 1985745 2382894 2647660 3971490 4765788 5427703 5692469 5957235 7942980 10855406 11384938 11914470 16283109 17077407 21710812 22769876 23828940 27138515 28462345 32566218 34154814 48849327 51232221 54277030 56924690 65132436 68309628 81415545 85387035 97698654 102464442 108554060 113849380 162831090 170774070 195397308 204928884 233391229 244246635 256161105 325662180 341548140 466782458 488493270 512322210 700173687 933564916 976986540 1024644420 1166956145 1400347374 2100521061 2333912290 2800694748 3500868435 4201042122 4667824580 7001736870 8402084244 10502605305 14003473740 21005210610 42010421220