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41613300040 = 235132512771151
BaseRepresentation
bin100110110000010110…
…001001000101001000
310222102002202200002211
4212300112021011020
51140211001100130
631041125234504
73002134133314
oct466026110510
9128362680084
1041613300040
1116714694264
128094262a34
133c02393c80
14202a964b44
151138461a2a
hex9b0589148

41613300040 has 128 divisors (see below), whose sum is σ = 101687685120. Its totient is φ = 15235200000.

The previous prime is 41613300037. The next prime is 41613300083. The reversal of 41613300040 is 4000331614.

It is a junction number, because it is equal to n+sod(n) for n = 41613299984 and 41613300020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36153465 + ... + 36154615.

It is an arithmetic number, because the mean of its divisors is an integer number (794435040).

Almost surely, 241613300040 is an apocalyptic number.

41613300040 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 41613300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50843842560).

41613300040 is an abundant number, since it is smaller than the sum of its proper divisors (60074385080).

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

41613300040 is a wasteful number, since it uses less digits than its factorization.

41613300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 41613300040 its reverse (4000331614), we get a palindrome (45613631654).

The spelling of 41613300040 in words is "forty-one billion, six hundred thirteen million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 251 260 277 502 520 554 1004 1108 1151 1255 1385 2008 2216 2302 2510 2770 3263 3601 4604 5020 5540 5755 6526 7202 9208 10040 11080 11510 13052 14404 14963 16315 18005 23020 26104 28808 29926 32630 36010 46040 59852 65260 69527 72020 74815 119704 130520 139054 144040 149630 278108 288901 299260 318827 347635 556216 577802 598520 637654 695270 903851 1155604 1275308 1390540 1444505 1594135 1807702 2311208 2550616 2781080 2889010 3188270 3615404 3755713 4144751 4519255 5778020 6376540 7230808 7511426 8289502 9038510 11556040 12753080 15022852 16579004 18077020 18778565 20723755 30045704 33158008 36154040 37557130 41447510 75114260 80025577 82895020 150228520 160051154 165790040 320102308 400127885 640204616 800255770 1040332501 1600511540 2080665002 3201023080 4161330004 5201662505 8322660008 10403325010 20806650020 41613300040