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41221010240 = 2652833791201
BaseRepresentation
bin100110011000111101…
…101011001101000000
310221101202121021122222
4212120331223031000
51133410034311430
630534153150212
72656331543264
oct463075531500
9127352537588
1041221010240
1116533205113
127ba49bb368
133b6c021c27
141dd080a0a4
151113cc29e5
hex998f6b340

41221010240 has 112 divisors (see below), whose sum is σ = 98846518080. Its totient is φ = 16373145600.

The previous prime is 41221010203. The next prime is 41221010267. The reversal of 41221010240 is 4201012214.

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, 34321640 + ... + 34322840.

Almost surely, 241221010240 is an apocalyptic number.

41221010240 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 41221010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49423259040).

41221010240 is an abundant number, since it is smaller than the sum of its proper divisors (57625507840).

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

41221010240 is a wasteful number, since it uses less digits than its factorization.

41221010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 41221010240 its reverse (4201012214), we get a palindrome (45422022454).

The spelling of 41221010240 in words is "forty-one billion, two hundred twenty-one million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 283 320 379 566 758 1132 1201 1415 1516 1895 2264 2402 2830 3032 3790 4528 4804 5660 6005 6064 7580 9056 9608 11320 12010 12128 15160 18112 19216 22640 24020 24256 30320 38432 45280 48040 60640 76864 90560 96080 107257 121280 192160 214514 339883 384320 429028 455179 536285 679766 858056 910358 1072570 1359532 1699415 1716112 1820716 2145140 2275895 2719064 3398830 3432224 3641432 4290280 4551790 5438128 6797660 6864448 7282864 8580560 9103580 10876256 13595320 14565728 17161120 18207160 21752512 27190640 29131456 34322240 36414320 54381280 72828640 108762560 128815657 145657280 257631314 515262628 644078285 1030525256 1288156570 2061050512 2576313140 4122101024 5152626280 8244202048 10305252560 20610505120 41221010240