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41007169000 = 235372836881
BaseRepresentation
bin100110001100001101…
…111011110111101000
310220211212020000122001
4212030031323313220
51132440313402000
630501033540344
72651124120400
oct461415736750
9126755200561
1041007169000
1116433529016
127b452746b4
133b3692c855
141db0263800
15110013246a
hex98c37bde8

41007169000 has 96 divisors (see below), whose sum is σ = 111623321160. Its totient is φ = 14059584000.

The previous prime is 41007168997. The next prime is 41007169001. The reversal of 41007169000 is 96170014.

It can be written as a sum of positive squares in 4 ways, for example, as 11599720804 + 29407448196 = 107702^2 + 171486^2 .

It is a super-2 number, since 2×410071690002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 41007169000.

It is not an unprimeable number, because it can be changed into a prime (41007169001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369441 + ... + 467440.

Almost surely, 241007169000 is an apocalyptic number.

41007169000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41007169000 is an abundant number, since it is smaller than the sum of its proper divisors (70616152160).

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

41007169000 is a wasteful number, since it uses less digits than its factorization.

41007169000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836916 (or 836895 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 41007169000 in words is "forty-one billion, seven million, one hundred sixty-nine thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 836881 1673762 3347524 4184405 5858167 6695048 8368810 11716334 16737620 20922025 23432668 29290835 33475240 41007169 41844050 46865336 58581670 82014338 83688100 104610125 117163340 146454175 164028676 167376200 205035845 209220250 234326680 292908350 328057352 410071690 418440500 585816700 732270875 820143380 836881000 1025179225 1171633400 1464541750 1640286760 2050358450 2929083500 4100716900 5125896125 5858167000 8201433800 10251792250 20503584500 41007169000