Search a number
-
+
42216414460110 = 23351197146538979
BaseRepresentation
bin10011001100101010001100…
…11000110011100011001110
312112110211221111202111222000
421212111012120303203032
521013133204100210420
6225441541510133130
711615015051104452
oct1146250630634316
9175424844674860
1042216414460110
11124a6976423970
1248999a79511a6
131a72cb5a39497
14a5d3dd068662
154d322c232690
hex2665466338ce

42216414460110 has 128 divisors (see below), whose sum is σ = 124077485145600. Its totient is φ = 10128774159360.

The previous prime is 42216414460063. The next prime is 42216414460141. The reversal of 42216414460110 is 1106441461224.

42216414460110 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 6 + 4 + 1 + 44 + 601 + 1 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72981400 + ... + 73557579.

It is an arithmetic number, because the mean of its divisors is an integer number (969355352700).

Almost surely, 242216414460110 is an apocalyptic number.

42216414460110 is an abundant number, since it is smaller than the sum of its proper divisors (81861070685490).

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

42216414460110 is a wasteful number, since it uses less digits than its factorization.

42216414460110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146539103 (or 146539097 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 42216414460110 in words is "forty-two trillion, two hundred sixteen billion, four hundred fourteen million, four hundred sixty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 97 99 110 135 165 194 198 270 291 297 330 485 495 582 594 873 970 990 1067 1455 1485 1746 2134 2619 2910 2970 3201 4365 5238 5335 6402 8730 9603 10670 13095 16005 19206 26190 28809 32010 48015 57618 96030 144045 288090 146538979 293077958 439616937 732694895 879233874 1318850811 1465389790 1611928769 2198084685 2637701622 3223857538 3956552433 4396169370 4835786307 6594254055 7913104866 8059643845 9671572614 13188508110 14214280963 14507358921 16119287690 19782762165 24178931535 28428561926 29014717842 39565524330 42642842889 43522076763 48357863070 71071404815 72536794605 85285685778 87044153526 127928528667 142142809630 145073589210 156357090593 213214214445 217610383815 255857057334 312714181186 383785586001 426428428890 435220767630 469071271779 639642643335 767571172002 781785452965 938142543558 1279285286670 1407213815337 1563570905930 1918927930005 2345356358895 2814427630674 3837855860010 4221641446011 4690712717790 7036069076685 8443282892022 14072138153370 21108207230055 42216414460110