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41640957120 = 263576196571
BaseRepresentation
bin100110110001111111…
…101001010011000000
310222111000210210111010
4212301333221103000
51140240041111440
631043554120520
73002621203230
oct466177512300
9128430723433
1041640957120
1116729264454
1280a1580140
133c080286c9
1420304c3cc0
15113aac6580
hex9b1fe94c0

41640957120 has 112 divisors (see below), whose sum is σ = 151097211648. Its totient is φ = 9517931520.

The previous prime is 41640957103. The next prime is 41640957121. The reversal of 41640957120 is 2175904614.

41640957120 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 (112).

It is not an unprimeable number, because it can be changed into a prime (41640957121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3091566 + ... + 3105005.

Almost surely, 241640957120 is an apocalyptic number.

41640957120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41640957120 is an abundant number, since it is smaller than the sum of its proper divisors (109456254528).

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

41640957120 is a wasteful number, since it uses less digits than its factorization.

41640957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6196598 (or 6196588 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 41640957120 in words is "forty-one billion, six hundred forty million, nine hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 6196571 12393142 18589713 24786284 30982855 37179426 43375997 49572568 61965710 74358852 86751994 92948565 99145136 123931420 130127991 148717704 173503988 185897130 198290272 216879985 247862840 260255982 297435408 347007976 371794260 396580544 433759970 495725680 520511964 594870816 650639955 694015952 743588520 867519940 991451360 1041023928 1189741632 1301279910 1388031904 1487177040 1735039880 1982902720 2082047856 2602559820 2776063808 2974354080 3470079760 4164095712 5205119640 5948708160 6940159520 8328191424 10410239280 13880319040 20820478560 41640957120