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103441011444 = 22343726932077
BaseRepresentation
bin110000001010110010…
…0001001001011110100
3100212222222111211120000
41200111210021023310
53143321344331234
6115304203511300
710321236042561
oct1402544111364
9325888454500
10103441011444
113a961832a11
121806a228530
1399a66945a4
145014065868
152a56393899
hex18159092f4

103441011444 has 120 divisors (see below), whose sum is σ = 278764877160. Its totient is φ = 33422678784.

The previous prime is 103441011437. The next prime is 103441011449. The reversal of 103441011444 is 444110144301.

103441011444 is a `hidden beast` number, since 103 + 4 + 410 + 1 + 144 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44610508944 + 58830502500 = 211212^2 + 242550^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103441011449) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3208734 + ... + 3240810.

It is an arithmetic number, because the mean of its divisors is an integer number (2323040643).

Almost surely, 2103441011444 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 103441011444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139382438580).

103441011444 is an abundant number, since it is smaller than the sum of its proper divisors (175323865716).

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

103441011444 is a wasteful number, since it uses less digits than its factorization.

103441011444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32399 (or 32388 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 103441011444 its reverse (444110144301), we get a palindrome (547551155745).

The spelling of 103441011444 in words is "one hundred three billion, four hundred forty-one million, eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 269 324 333 444 538 666 807 999 1076 1332 1614 1998 2421 2997 3228 3996 4842 5994 7263 9684 9953 11988 14526 19906 21789 29052 29859 32077 39812 43578 59718 64154 87156 89577 96231 119436 128308 179154 192462 268731 288693 358308 384924 537462 577386 806193 866079 1074924 1154772 1186849 1612386 1732158 2373698 2598237 3224772 3464316 3560547 4747396 5196474 7121094 8628713 10392948 10681641 14242188 17257426 21363282 25886139 32044923 34514852 42726564 51772278 64089846 77658417 96134769 103544556 128179692 155316834 192269538 232975251 310633668 319262381 384539076 465950502 638524762 698925753 931901004 957787143 1277049524 1397851506 1915574286 2795703012 2873361429 3831148572 5746722858 8620084287 11493445716 17240168574 25860252861 34480337148 51720505722 103441011444