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41034604900 = 22524724312
BaseRepresentation
bin100110001101110110…
…100110000101100100
310220220202211220121111
4212031312212011210
51133014324324100
630503453554404
72651606246422
oct461566460544
9126822756544
1041034604900
1116447a68013
127b524a5a04
133b3c517703
141db3b66112
1511027516ba
hex98dda6164

41034604900 has 81 divisors (see below), whose sum is σ = 91191559417. Its totient is φ = 16027338400.

The previous prime is 41034604873. The next prime is 41034604951. The reversal of 41034604900 is 940643014.

The square root of 41034604900 is 202570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14772457764 + 26262147136 = 121542^2 + 162056^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95207685 + ... + 95208115.

Almost surely, 241034604900 is an apocalyptic number.

41034604900 is the 202570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41034604900

41034604900 is an abundant number, since it is smaller than the sum of its proper divisors (50156954517).

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

41034604900 is an equidigital number, since it uses as much as digits as its factorization.

41034604900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 41034604900 in words is "forty-one billion, thirty-four million, six hundred four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 431 470 862 940 1175 1724 2155 2209 2350 4310 4418 4700 8620 8836 10775 11045 20257 21550 22090 40514 43100 44180 55225 81028 101285 110450 185761 202570 220900 371522 405140 506425 743044 928805 952079 1012850 1857610 1904158 2025700 3715220 3808316 4644025 4760395 8730767 9288050 9520790 17461534 18576100 19041580 23801975 34923068 43653835 47603950 87307670 95207900 174615340 218269175 410346049 436538350 820692098 873076700 1641384196 2051730245 4103460490 8206920980 10258651225 20517302450 41034604900