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41000234240 = 285723198953
BaseRepresentation
bin100110001011110011…
…011110110100000000
310220211101011200221002
4212023303132310000
51132432024443430
630500225151132
72651011145420
oct461363366400
9126741150832
1041000234240
111642a621909
127b42a8b4a8
133b35372244
141dad37a480
1510ee712845
hex98bcded00

41000234240 has 144 divisors (see below), whose sum is σ = 117118649088. Its totient is φ = 13445971968.

The previous prime is 41000234179. The next prime is 41000234251. The reversal of 41000234240 is 4243200014.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 106604 + ... + 305556.

It is an arithmetic number, because the mean of its divisors is an integer number (813323952).

Almost surely, 241000234240 is an apocalyptic number.

41000234240 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 41000234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58559324544).

41000234240 is an abundant number, since it is smaller than the sum of its proper divisors (76118414848).

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

41000234240 is a wasteful number, since it uses less digits than its factorization.

41000234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199004 (or 198990 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 41000234240 its reverse (4243200014), we get a palindrome (45243434254).

The spelling of 41000234240 in words is "forty-one billion, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 128 140 160 161 184 224 230 256 280 320 322 368 448 460 560 640 644 736 805 896 920 1120 1280 1288 1472 1610 1792 1840 2240 2576 2944 3220 3680 4480 5152 5888 6440 7360 8960 10304 12880 14720 20608 25760 29440 41216 51520 103040 198953 206080 397906 795812 994765 1392671 1591624 1989530 2785342 3183248 3979060 4575919 5570684 6366496 6963355 7958120 9151838 11141368 12732992 13926710 15916240 18303676 22282736 22879595 25465984 27853420 31832480 32031433 36607352 44565472 45759190 50931968 55706840 63664960 64062866 73214704 89130944 91518380 111413680 127329920 128125732 146429408 160157165 178261888 183036760 222827360 254659840 256251464 292858816 320314330 356523776 366073520 445654720 512502928 585717632 640628660 732147040 891309440 1025005856 1171435264 1281257320 1464294080 1782618880 2050011712 2562514640 2928588160 4100023424 5125029280 5857176320 8200046848 10250058560 20500117120 41000234240