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41444403440 = 24511293152387
BaseRepresentation
bin100110100110010001…
…110110100011110000
310221222022221211112012
4212212101312203300
51134334231402230
631012253222052
72665013421356
oct464621664360
9127868854465
1041444403440
11166383157a0
128047791928
133ba63a9c5b
14201235b7d6
1511286ed395
hex9a64768f0

41444403440 has 160 divisors (see below), whose sum is σ = 112252815360. Its totient is φ = 14081356800.

The previous prime is 41444403401. The next prime is 41444403449. The reversal of 41444403440 is 4430444414.

It is a junction number, because it is equal to n+sod(n) for n = 41444403397 and 41444403406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41444403449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 764927 + ... + 817313.

It is an arithmetic number, because the mean of its divisors is an integer number (701580096).

Almost surely, 241444403440 is an apocalyptic number.

41444403440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41444403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56126407680).

41444403440 is an abundant number, since it is smaller than the sum of its proper divisors (70808411920).

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

41444403440 is a wasteful number, since it uses less digits than its factorization.

41444403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52471 (or 52465 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 41444403440 its reverse (4430444414), we get a palindrome (45874847854).

The spelling of 41444403440 in words is "forty-one billion, four hundred forty-four million, four hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 31 40 44 55 58 62 80 88 110 116 124 145 155 176 220 232 248 290 310 319 341 440 464 496 580 620 638 682 880 899 1160 1240 1276 1364 1595 1705 1798 2320 2480 2552 2728 3190 3410 3596 4495 5104 5456 6380 6820 7192 8990 9889 12760 13640 14384 17980 19778 25520 27280 35960 39556 49445 52387 71920 79112 98890 104774 158224 197780 209548 261935 395560 419096 523870 576257 791120 838192 1047740 1152514 1519223 1623997 2095480 2305028 2881285 3038446 3247994 4190960 4610056 5762570 6076892 6495988 7596115 8119985 9220112 11525140 12153784 12991976 15192230 16239970 16711453 17863967 23050280 24307568 25983952 30384460 32479940 33422906 35727934 46100560 47095913 60768920 64959880 66845812 71455868 83557265 89319835 94191826 121537840 129919760 133691624 142911736 167114530 178639670 188383652 235479565 267383248 285823472 334229060 357279340 376767304 470959130 518055043 668458120 714558680 753534608 941918260 1036110086 1336916240 1429117360 1883836520 2072220172 2590275215 3767673040 4144440344 5180550430 8288880688 10361100860 20722201720 41444403440