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41720020224 = 283311752353
BaseRepresentation
bin100110110110101101…
…001111110100000000
310222200112120121200020
4212312231033310000
51140420311121344
631055500453440
73004601215011
oct466655176400
9128615517606
1041720020224
1116769955763
128103b4a280
133c1b51b4cc
14203abc5008
1511429e2719
hex9b6b4fd00

41720020224 has 72 divisors (see below), whose sum is σ = 114617970432. Its totient is φ = 13458063360.

The previous prime is 41720020187. The next prime is 41720020231. The reversal of 41720020224 is 42202002714.

41720020224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 41720020194 and 41720020203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 852369 + ... + 899984.

It is an arithmetic number, because the mean of its divisors is an integer number (1591916256).

Almost surely, 241720020224 is an apocalyptic number.

It is an amenable number.

41720020224 is an abundant number, since it is smaller than the sum of its proper divisors (72897950208).

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

41720020224 is a wasteful number, since it uses less digits than its factorization.

41720020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752403 (or 1752389 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

Adding to 41720020224 its reverse (42202002714), we get a palindrome (83922022938).

The spelling of 41720020224 in words is "forty-one billion, seven hundred twenty million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 5952 7936 11904 23808 1752353 3504706 5257059 7009412 10514118 14018824 21028236 28037648 42056472 54322943 56075296 84112944 108645886 112150592 162968829 168225888 217291772 224301184 325937658 336451776 434583544 448602368 651875316 672903552 869167088 1303750632 1345807104 1738334176 2607501264 3476668352 5215002528 6953336704 10430005056 13906673408 20860010112 41720020224