Search a number
-
+
4454002055010 = 23519711071028569
BaseRepresentation
bin100000011010000011100…
…1101011101011101100010
3120202210120001122200221110
41000310013031131131202
51040433244011230020
613250050145404150
7636535215542544
oct100640715353542
916683501580843
104454002055010
111467a280541a2
125bb270339656
1326401a367681
1411580955d694
157acd37778e0
hex40d0735d762

4454002055010 has 128 divisors (see below), whose sum is σ = 11517350860800. Its totient is φ = 1099004336640.

The previous prime is 4454002054987. The next prime is 4454002055047. The reversal of 4454002055010 is 105502004544.

It is a super-2 number, since 2×44540020550102 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3816006 + ... + 4844574.

It is an arithmetic number, because the mean of its divisors is an integer number (89979303600).

Almost surely, 24454002055010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4454002055010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758675430400).

4454002055010 is an abundant number, since it is smaller than the sum of its proper divisors (7063348805790).

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

4454002055010 is a wasteful number, since it uses less digits than its factorization.

4454002055010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028776.

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 4454002055010 its reverse (105502004544), we get a palindrome (4559504059554).

The spelling of 4454002055010 in words is "four trillion, four hundred fifty-four billion, two million, fifty-five thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 71 95 107 114 142 190 213 214 285 321 355 426 535 570 642 710 1065 1070 1349 1605 2033 2130 2698 3210 4047 4066 6099 6745 7597 8094 10165 12198 13490 15194 20235 20330 22791 30495 37985 40470 45582 60990 75970 113955 144343 227910 288686 433029 721715 866058 1028569 1443430 2057138 2165145 3085707 4330290 5142845 6171414 10285690 15428535 19542811 30857070 39085622 58628433 73028399 97714055 110056883 117256866 146056798 195428110 219085197 220113766 293142165 330170649 365141995 438170394 550284415 586284330 660341298 730283990 1095425985 1100568830 1387539581 1650853245 2091080777 2190851970 2775079162 3301706490 4162618743 4182161554 6273242331 6937697905 7814038693 8325237486 10455403885 12546484662 13875395810 15628077386 20813093715 20910807770 23442116079 31366211655 39070193465 41626187430 46884232158 62732423310 78140386930 117210580395 148466735167 234421160790 296933470334 445400205501 742333675835 890800411002 1484667351670 2227001027505 4454002055010