Search a number
-
+
42055344100 = 225271141133213
BaseRepresentation
bin100111001010101100…
…011001111111100100
311000112220112211120001
4213022230121333210
51142112132002400
631153035551044
73016112345440
oct471254317744
9130486484501
1042055344100
1116921166530
1281982bb484
133c72b365c3
14206d551820
15116217ca6a
hex9cab19fe4

42055344100 has 144 divisors (see below), whose sum is σ = 116554790016. Its totient is φ = 12788352000.

The previous prime is 42055344049. The next prime is 42055344167. The reversal of 42055344100 is 144355024.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 249094 + ... + 382306.

It is an arithmetic number, because the mean of its divisors is an integer number (809408264).

Almost surely, 242055344100 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 42055344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58277395008).

42055344100 is an abundant number, since it is smaller than the sum of its proper divisors (74499445916).

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

42055344100 is a wasteful number, since it uses less digits than its factorization.

42055344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133286 (or 133279 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 42055344100 its reverse (144355024), we get a palindrome (42199699124).

The spelling of 42055344100 in words is "forty-two billion, fifty-five million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 41 44 50 55 70 77 82 100 110 140 154 164 175 205 220 275 287 308 350 385 410 451 550 574 700 770 820 902 1025 1100 1148 1435 1540 1804 1925 2050 2255 2870 3157 3850 4100 4510 5740 6314 7175 7700 9020 11275 12628 14350 15785 22550 28700 31570 45100 63140 78925 133213 157850 266426 315700 532852 666065 932491 1332130 1465343 1864982 2664260 2930686 3330325 3729964 4662455 5461733 5861372 6660650 7326715 9324910 10257401 10923466 13321300 14653430 18649820 20514802 21846932 23312275 27308665 29306860 36633575 38232131 41029604 46624550 51287005 54617330 60079063 73267150 76464262 93249100 102574010 109234660 120158126 136543325 146534300 152928524 191160655 205148020 240316252 256435025 273086650 300395315 382321310 420553441 512870050 546173300 600790630 764642620 841106882 955803275 1025740100 1201581260 1501976575 1682213764 1911606550 2102767205 3003953150 3823213100 4205534410 6007906300 8411068820 10513836025 21027672050 42055344100