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4420401010144 = 25717412690553
BaseRepresentation
bin100000001010011010001…
…1011101001010111100000
3120122120211100100202200021
41000110310123221113200
51034410440124311034
613222412034403224
7634235441430610
oct100246433512740
916576740322607
104420401010144
111454755148929
125b4853430514
13260ac3c179c2
14113d3cb72a40
1579eb89326b4
hex405346e95e0

4420401010144 has 144 divisors (see below), whose sum is σ = 10794088245024. Its totient is φ = 1739528110080.

The previous prime is 4420401010133. The next prime is 4420401010159. The reversal of 4420401010144 is 4410101040244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6055972 + ... + 6746524.

It is an arithmetic number, because the mean of its divisors is an integer number (74958946146).

Almost surely, 24420401010144 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 4420401010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397044122512).

4420401010144 is an abundant number, since it is smaller than the sum of its proper divisors (6373687234880).

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

4420401010144 is a wasteful number, since it uses less digits than its factorization.

4420401010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690669 (or 690620 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 4420401010144 its reverse (4410101040244), we get a palindrome (8830502050388).

The spelling of 4420401010144 in words is "four trillion, four hundred twenty billion, four hundred one million, ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 41 56 68 82 112 119 136 164 224 238 272 287 328 476 544 574 656 697 952 1148 1312 1394 1681 1904 2296 2788 3362 3808 4592 4879 5576 6724 9184 9758 11152 11767 13448 19516 22304 23534 26896 28577 39032 47068 53792 57154 78064 94136 114308 156128 188272 200039 228616 376544 400078 457232 690553 800156 914464 1381106 1600312 2762212 3200624 4833871 5524424 6401248 9667742 11048848 11739401 19335484 22097696 23478802 28312673 38670968 46957604 56625346 77341936 82175807 93915208 113250692 154683872 164351614 187830416 198188711 226501384 328703228 375660832 396377422 453002768 481315441 657406456 792754844 906005536 962630882 1160819593 1314812912 1585509688 1925261764 2321639186 2629625824 3171019376 3369208087 3850523528 4643278372 6342038752 6738416174 7701047056 8125737151 9286556744 13476832348 15402094112 16251474302 18573113488 19733933081 26953664696 32502948604 37146226976 39467866162 53907329392 65005897208 78935732324 107814658784 130011794416 138137531567 157871464648 260023588832 276275063134 315742929296 552550126268 631485858592 1105100252536 2210200505072 4420401010144