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41456052720 = 243552132513
BaseRepresentation
bin100110100110111110…
…010010100111110000
310222000010212200100000
4212212332102213300
51134400222141340
631013351030000
72665214430315
oct464676224760
9128003780300
1041456052720
1116643951aa5
12804b66b300
133ba8928414
142013b10d0c
15112974ed30
hex9a6f929f0

41456052720 has 120 divisors (see below), whose sum is σ = 144379727856. Its totient is φ = 11054942208.

The previous prime is 41456052629. The next prime is 41456052721. The reversal of 41456052720 is 2725065414.

It is a happy number.

41456052720 is a `hidden beast` number, since 4 + 1 + 4 + 5 + 605 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41456052721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1046817 + ... + 1085696.

Almost surely, 241456052720 is an apocalyptic number.

41456052720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41456052720 is an abundant number, since it is smaller than the sum of its proper divisors (102923675136).

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

41456052720 is a wasteful number, since it uses less digits than its factorization.

41456052720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132541 (or 2132523 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 41456052720 in words is "forty-one billion, four hundred fifty-six million, fifty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 2132513 4265026 6397539 8530052 10662565 12795078 17060104 19192617 21325130 25590156 31987695 34120208 38385234 42650260 51180312 57577851 63975390 76770468 85300520 95963085 102360624 115155702 127950780 153540936 170601040 172733553 191926170 230311404 255901560 287889255 307081872 345467106 383852340 460622808 511803120 518200659 575778510 690934212 767704680 863667765 921245616 1036401318 1151557020 1381868424 1535409360 1727335530 2072802636 2303114040 2591003295 2763736848 3454671060 4145605272 4606228080 5182006590 6909342120 8291210544 10364013180 13818684240 20728026360 41456052720