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41020342000 = 24531110118461
BaseRepresentation
bin100110001101000000…
…001011111011110000
310220212210000021120221
4212031000023323300
51133002201421000
630502224142424
72651344103551
oct461500137360
9126783007527
1041020342000
111643aa060a0
127b49767a14
133b39592721
141db1cd2328
15110138561a
hex98d00bef0

41020342000 has 160 divisors (see below), whose sum is σ = 109281451968. Its totient is φ = 14768000000.

The previous prime is 41020341977. The next prime is 41020342007. The reversal of 41020342000 is 24302014.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41020342007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2212770 + ... + 2231230.

Almost surely, 241020342000 is an apocalyptic number.

41020342000 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 41020342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54640725984).

41020342000 is an abundant number, since it is smaller than the sum of its proper divisors (68261109968).

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

41020342000 is a wasteful number, since it uses less digits than its factorization.

41020342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18596 (or 18580 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 41020342000 its reverse (24302014), we get a palindrome (41044644014).

The spelling of 41020342000 in words is "forty-one billion, twenty million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 125 176 200 202 220 250 275 400 404 440 500 505 550 808 880 1000 1010 1100 1111 1375 1616 2000 2020 2200 2222 2525 2750 4040 4400 4444 5050 5500 5555 8080 8888 10100 11000 11110 12625 17776 18461 20200 22000 22220 25250 27775 36922 40400 44440 50500 55550 73844 88880 92305 101000 111100 138875 147688 184610 202000 203071 222200 277750 295376 369220 406142 444400 461525 555500 738440 812284 923050 1015355 1111000 1476880 1624568 1846100 1864561 2030710 2222000 2307625 3249136 3692200 3729122 4061420 4615250 5076775 7384400 7458244 8122840 9230500 9322805 10153550 14916488 16245680 18461000 18645610 20307100 20510171 25383875 29832976 36922000 37291220 40614200 41020342 46614025 50767750 74582440 81228400 82040684 93228050 101535500 102550855 149164880 164081368 186456100 203071000 205101710 233070125 328162736 372912200 406142000 410203420 466140250 512754275 745824400 820406840 932280500 1025508550 1640813680 1864561000 2051017100 2563771375 3729122000 4102034200 5127542750 8204068400 10255085500 20510171000 41020342000