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41004037040 = 245471972281
BaseRepresentation
bin100110001100000001…
…111111001110110000
310220211122022220101112
4212030001333032300
51132434013141130
630500442452452
72651055364331
oct461401771660
9126748286345
1041004037040
1116431789a1a
127b44204128
133b360a4115
141dada8a288
1510eec14495
hex98c07f3b0

41004037040 has 120 divisors (see below), whose sum is σ = 98207767872. Its totient is φ = 15914321920.

The previous prime is 41004037031. The next prime is 41004037057. The reversal of 41004037040 is 4073040014.

It is a junction number, because it is equal to n+sod(n) for n = 41004036997 and 41004037015.

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 23 ways as a sum of consecutive naturals, for example, 145921700 + ... + 145921980.

Almost surely, 241004037040 is an apocalyptic number.

41004037040 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 41004037040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49103883936).

41004037040 is an abundant number, since it is smaller than the sum of its proper divisors (57203730832).

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

41004037040 is a wasteful number, since it uses less digits than its factorization.

41004037040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

Adding to 41004037040 its reverse (4073040014), we get a palindrome (45077077054).

The spelling of 41004037040 in words is "forty-one billion, four million, thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 197 235 281 376 394 470 562 752 788 940 985 1124 1405 1576 1880 1970 2248 2810 3152 3760 3940 4496 5620 7880 9259 11240 13207 15760 18518 22480 26414 37036 38809 46295 52828 55357 66035 74072 77618 92590 105656 110714 132070 148144 155236 185180 194045 211312 221428 264140 276785 310472 370360 388090 442856 528280 553570 620944 740720 776180 885712 1056560 1107140 1552360 1824023 2214280 2601779 3104720 3648046 4428560 5203558 7296092 9120115 10407116 10905329 13008895 14592184 18240230 20814232 21810658 26017790 29184368 36480460 41628464 43621316 52035580 54526645 72960920 87242632 104071160 109053290 145921840 174485264 208142320 218106580 436213160 512550463 872426320 1025100926 2050201852 2562752315 4100403704 5125504630 8200807408 10251009260 20502018520 41004037040