Search a number
-
+
4100213463012 = 22321731333164667
BaseRepresentation
bin111011101010100111110…
…001000101011111100100
3112111222100221000002101100
4323222213301011133210
51014134214121304022
612415340112200100
7602142053250552
oct73524761053744
915458327002340
104100213463012
111340988675687
12562795239030
132398578c7344
14102646888bd2
15719c8d0d1ac
hex3baa7c457e4

4100213463012 has 144 divisors (see below), whose sum is σ = 11042592829632. Its totient is φ = 1278338181120.

The previous prime is 4100213462959. The next prime is 4100213463061. The reversal of 4100213463012 is 2103643120014.

It is a happy number.

4100213463012 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 2 + 13 + 4 + 630 + 12 = 666.

It is a super-2 number, since 2×41002134630122 (a number of 26 digits) contains 22 as substring.

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, 63372703 + ... + 63437369.

It is an arithmetic number, because the mean of its divisors is an integer number (76684672428).

Almost surely, 24100213463012 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 4100213463012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521296414816).

4100213463012 is an abundant number, since it is smaller than the sum of its proper divisors (6942379366620).

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

4100213463012 is a wasteful number, since it uses less digits than its factorization.

4100213463012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65338 (or 65333 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4100213463012 its reverse (2103643120014), we get a palindrome (6203856583026).

The spelling of 4100213463012 in words is "four trillion, one hundred billion, two hundred thirteen million, four hundred sixty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 313 331 612 626 662 939 993 1252 1324 1878 1986 2817 2979 3756 3972 5321 5627 5634 5958 10642 11254 11268 11916 15963 16881 21284 22508 31926 33762 47889 50643 63852 64667 67524 95778 101286 103603 129334 191556 194001 202572 207206 258668 310809 388002 414412 582003 621618 776004 932427 1099339 1164006 1243236 1761251 1864854 2198678 2328012 3298017 3522502 3729708 4397356 5283753 6596034 7045004 9894051 10567506 13192068 15851259 19788102 20240771 21135012 21404777 31702518 39576204 40481542 42809554 60722313 63405036 64214331 80963084 85619108 121444626 128428662 182166939 192642993 242889252 256857324 344093107 363881209 364333878 385285986 688186214 727762418 728667756 770571972 1032279321 1091643627 1376372428 1455524836 2064558642 2183287254 3096837963 3274930881 4129117284 4366574508 6193675926 6549861762 6699695201 12387351852 13099723524 13399390402 20099085603 26798780804 40198171206 60297256809 80396342412 113894818417 120594513618 227789636834 241189027236 341684455251 455579273668 683368910502 1025053365753 1366737821004 2050106731506 4100213463012