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41442241240 = 23553891571399
BaseRepresentation
bin100110100110001001…
…100110101011011000
310221222011212222112201
4212212021212223120
51134333203204430
631012135015544
72664656144521
oct464611465330
9127864788481
1041442241240
1116637079254
128046b0a5b4
133ba5b00a4a
142011d57848
1511284228ca
hex9a6266ad8

41442241240 has 128 divisors (see below), whose sum is σ = 96752880000. Its totient is φ = 15967531008.

The previous prime is 41442241223. The next prime is 41442241303. The reversal of 41442241240 is 4214224414.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 41442241199 and 41442241208.

It is a congruent number.

It is an unprimeable number.

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, 29622061 + ... + 29623459.

It is an arithmetic number, because the mean of its divisors is an integer number (755881875).

Almost surely, 241442241240 is an apocalyptic number.

41442241240 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 41442241240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48376440000).

41442241240 is an abundant number, since it is smaller than the sum of its proper divisors (55310638760).

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

41442241240 is a wasteful number, since it uses less digits than its factorization.

41442241240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 41442241240 its reverse (4214224414), we get a palindrome (45656465654).

The spelling of 41442241240 in words is "forty-one billion, four hundred forty-two million, two hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 89 106 157 178 212 265 314 356 424 445 530 628 712 785 890 1060 1256 1399 1570 1780 2120 2798 3140 3560 4717 5596 6280 6995 8321 9434 11192 13973 13990 16642 18868 23585 27946 27980 33284 37736 41605 47170 55892 55960 66568 69865 74147 83210 94340 111784 124511 139730 148294 166420 188680 219643 249022 279460 296588 332840 370735 439286 498044 558920 593176 622555 740569 741470 878572 996088 1098215 1245110 1481138 1482940 1757144 2196430 2490220 2962276 2965880 3702845 4392860 4980440 5924552 6599083 7405690 8785720 11641079 13198166 14811380 19548227 23282158 26396332 29622760 32995415 39096454 46564316 52792664 58205395 65990830 78192908 93128632 97741135 116410790 131981660 156385816 195482270 232821580 263963320 390964540 465643160 781929080 1036056031 2072112062 4144224124 5180280155 8288448248 10360560310 20721120620 41442241240