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4441221445100 = 22521117475053159
BaseRepresentation
bin100000010100000110101…
…1011010011010111101100
3120201120120100200110002212
41000220031123103113230
51040231110142220400
613240134032505552
7635603415261266
oct100501533232754
916646510613085
104441221445100
1114625697a5870
125b88a40ab2b8
13262a6157b8bb
14114d55dc2b36
157a7d6710335
hex40a0d6d35ec

4441221445100 has 144 divisors (see below), whose sum is σ = 11368882344960. Its totient is φ = 1487649715200.

The previous prime is 4441221445069. The next prime is 4441221445103. The reversal of 4441221445100 is 15441221444.

It is a super-2 number, since 2×44412214451002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4441221445103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1647680 + ... + 3405479.

It is an arithmetic number, because the mean of its divisors is an integer number (78950571840).

Almost surely, 24441221445100 is an apocalyptic number.

It is an amenable number.

4441221445100 is an abundant number, since it is smaller than the sum of its proper divisors (6927660899860).

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

4441221445100 is a wasteful number, since it uses less digits than its factorization.

4441221445100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053248 (or 5053241 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

Adding to 4441221445100 its reverse (15441221444), we get a palindrome (4456662666544).

The spelling of 4441221445100 in words is "four trillion, four hundred forty-one billion, two hundred twenty-one million, four hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 47 50 55 68 85 94 100 110 170 187 188 220 235 275 340 374 425 470 517 550 748 799 850 935 940 1034 1100 1175 1598 1700 1870 2068 2350 2585 3196 3740 3995 4675 4700 5170 7990 8789 9350 10340 12925 15980 17578 18700 19975 25850 35156 39950 43945 51700 79900 87890 175780 219725 439450 878900 5053159 10106318 20212636 25265795 50531590 55584749 85903703 101063180 111169498 126328975 171807406 222338996 237498473 252657950 277923745 343614812 429518515 474996946 505315900 555847490 859037030 944940733 949993892 1111694980 1187492365 1389618725 1718074060 1889881466 2147592575 2374984730 2612483203 2779237450 3779762932 4037474041 4295185150 4724703665 4749969460 5224966406 5558474900 5937461825 8074948082 8590370300 9449407330 10449932812 11874923650 13062416015 16149896164 18898814660 20187370205 23623518325 23749847300 26124832030 40374740410 44412214451 47247036650 52249664060 65312080075 80749480820 88824428902 94494073300 100936851025 130624160150 177648857804 201873702050 222061072255 261248320300 403747404100 444122144510 888244289020 1110305361275 2220610722550 4441221445100