Search a number
-
+
4445521141100 = 225213191061169633
BaseRepresentation
bin100000010110000110110…
…1101010101110101101100
3120201222200000022122011212
41000230031231111311230
51040313411403003400
613242124430133552
7636115105140164
oct100541555256554
916658600278155
104445521141100
111464375876036
125b96a40512b8
132632982c2910
1411524306b5a4
157a988e34335
hex40b0db55d6c

4445521141100 has 144 divisors (see below), whose sum is σ = 10945993474080. Its totient is φ = 1553557708800.

The previous prime is 4445521141099. The next prime is 4445521141141. The reversal of 4445521141100 is 11411255444.

It is a super-2 number, since 2×44455211411002 (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, 26121884 + ... + 26291516.

It is an arithmetic number, because the mean of its divisors is an integer number (76013843570).

Almost surely, 24445521141100 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 4445521141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472996737040).

4445521141100 is an abundant number, since it is smaller than the sum of its proper divisors (6500472332980).

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

4445521141100 is a wasteful number, since it uses less digits than its factorization.

4445521141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170740 (or 170733 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

Adding to 4445521141100 its reverse (11411255444), we get a palindrome (4456932396544).

The spelling of 4445521141100 in words is "four trillion, four hundred forty-five billion, five hundred twenty-one million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 650 950 988 1061 1235 1300 1900 2122 2470 4244 4940 5305 6175 10610 12350 13793 20159 21220 24700 26525 27586 40318 53050 55172 68965 80636 100795 106100 137930 169633 201590 262067 275860 339266 344825 403180 503975 524134 678532 689650 848165 1007950 1048268 1310335 1379300 1696330 2015900 2205229 2620670 3223027 3392660 4240825 4410458 5241340 6446054 6551675 8481650 8820916 11026145 12892108 13103350 16115135 16963300 22052290 26206700 32230270 41899351 44104580 55130725 64460540 80575675 83798702 110261450 161151350 167597404 179980613 209496755 220522900 322302700 359961226 418993510 719922452 837987020 899903065 1047483775 1799806130 2094967550 2339747969 3419631647 3599612260 4189935100 4499515325 4679495938 6839263294 8999030650 9358991876 11698739845 13678526588 17098158235 17998061300 23397479690 34196316470 44455211411 46794959380 58493699225 68392632940 85490791175 88910422822 116987398450 170981582350 177820845644 222276057055 233974796900 341963164700 444552114110 889104228220 1111380285275 2222760570550 4445521141100