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41013020320 = 255299719103
BaseRepresentation
bin100110001100100100…
…010000011010100000
310220212021020022010121
4212030210100122200
51132443313122240
630501403210024
72651224630546
oct461444203240
9126767208117
1041013020320
1116436865218
127b47216914
133b37bcac7c
141db0d47d96
1511008db04a
hex98c9106a0

41013020320 has 96 divisors (see below), whose sum is σ = 100348657920. Its totient is φ = 15821460480.

The previous prime is 41013020299. The next prime is 41013020341. The reversal of 41013020320 is 2302031014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41013020299) and next prime (41013020341).

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

It is a junction number, because it is equal to n+sod(n) for n = 41013020294 and 41013020303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4500889 + ... + 4509991.

It is an arithmetic number, because the mean of its divisors is an integer number (1045298520).

Almost surely, 241013020320 is an apocalyptic number.

41013020320 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 41013020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50174328960).

41013020320 is an abundant number, since it is smaller than the sum of its proper divisors (59335637600).

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

41013020320 is a wasteful number, since it uses less digits than its factorization.

41013020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10118 (or 10110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 41013020320 its reverse (2302031014), we get a palindrome (43315051334).

The spelling of 41013020320 in words is "forty-one billion, thirteen million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 971 1160 1942 2320 3884 4640 4855 7768 9103 9710 15536 18206 19420 28159 31072 36412 38840 45515 56318 72824 77680 91030 112636 140795 145648 155360 182060 225272 263987 281590 291296 364120 450544 527974 563180 728240 901088 1055948 1126360 1319935 1456480 2111896 2252720 2639870 4223792 4505440 5279740 8447584 8839013 10559480 17678026 21118960 35356052 42237920 44195065 70712104 88390130 141424208 176780260 256331377 282848416 353560520 512662754 707121040 1025325508 1281656885 1414242080 2050651016 2563313770 4101302032 5126627540 8202604064 10253255080 20506510160 41013020320