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4441026201444 = 22327311573620941
BaseRepresentation
bin100000010100000000111…
…0010100000011101100100
3120201120001202022001011100
41000220001302200131210
51040230210201421234
613240102420040100
7635565524603640
oct100500162403544
916646052261140
104441026201444
111462479571378
125b884a833030
13262a2cc9b501
14114d380bbc20
157a7c44e5399
hex40a01ca0764

4441026201444 has 144 divisors (see below), whose sum is σ = 13327847443456. Its totient is φ = 1220111942400.

The previous prime is 4441026201421. The next prime is 4441026201503.

4441026201444 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 0 + 2 + 6 + 201 + 444 = 666.

4441026201444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4441026201399 and 4441026201408.

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, 583987 + ... + 3036954.

Almost surely, 24441026201444 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 4441026201444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6663923721728).

4441026201444 is an abundant number, since it is smaller than the sum of its proper divisors (8886821242012).

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

4441026201444 is a wasteful number, since it uses less digits than its factorization.

4441026201444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3621146 (or 3621141 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 4441026201444 in words is "four trillion, four hundred forty-one billion, twenty-six million, two hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 157 186 217 252 279 314 372 434 471 558 628 651 868 942 1099 1116 1302 1413 1884 1953 2198 2604 2826 3297 3906 4396 4867 5652 6594 7812 9734 9891 13188 14601 19468 19782 29202 34069 39564 43803 58404 68138 87606 102207 136276 175212 204414 306621 408828 613242 1226484 3620941 7241882 10862823 14483764 21725646 25346587 32588469 43451292 50693174 65176938 76039761 101386348 112249171 130353876 152079522 224498342 228119283 304159044 336747513 448996684 456238566 568487737 673495026 785744197 912477132 1010242539 1136975474 1346990052 1571488394 1705463211 2020485078 2273950948 2357232591 3142976788 3410926422 3979414159 4040970156 4714465182 5116389633 6821852844 7071697773 7958828318 9428930364 10232779266 11938242477 14143395546 15917656636 17623119847 20465558532 23876484954 28286791092 35246239694 35814727431 47752969908 52869359541 70492479388 71629454862 105738719082 123361838929 143258909724 158608078623 211477438164 246723677858 317216157246 370085516787 493447355716 634432314492 740171033574 1110256550361 1480342067148 2220513100722 4441026201444