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41422403301040 = 24516720113154153
BaseRepresentation
bin10010110101100011001111…
…01000100110111010110000
312102122221110111200102021201
421122301213220212322300
520412131040221113130
6224033104523300544
711503445524443166
oct1132614750467260
9172587414612251
1041422403301040
1112220162868a93
12478bb3307a754
131a1616774c588
14a32bd8249236
154bc759ac1bca
hex25ac67a26eb0

41422403301040 has 80 divisors (see below), whose sum is σ = 96889222317888. Its totient is φ = 16468820287488.

The previous prime is 41422403300987. The next prime is 41422403301047. The reversal of 41422403301040 is 4010330422414.

41422403301040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (41422403301047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268632604 + ... + 268786756.

Almost surely, 241422403301040 is an apocalyptic number.

41422403301040 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 41422403301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48444611158944).

41422403301040 is an abundant number, since it is smaller than the sum of its proper divisors (55466819016848).

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

41422403301040 is a wasteful number, since it uses less digits than its factorization.

41422403301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174446 (or 174440 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 41422403301040 its reverse (4010330422414), we get a palindrome (45432733723454).

The spelling of 41422403301040 in words is "forty-one trillion, four hundred twenty-two billion, four hundred three million, three hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3340 6680 13360 20113 40226 80452 100565 154153 160904 201130 308306 321808 402260 616612 770765 804520 1233224 1541530 1609040 2466448 3083060 3358871 6166120 6717742 12332240 13435484 16794355 25743551 26870968 33588710 51487102 53741936 67177420 102974204 128717755 134354840 205948408 257435510 268709680 411896816 514871020 1029742040 2059484080 3100479289 6200958578 12401917156 15502396445 24803834312 31004792890 49607668624 62009585780 124019171560 248038343120 517780041263 1035560082526 2071120165052 2588900206315 4142240330104 5177800412630 8284480660208 10355600825260 20711201650520 41422403301040