Search a number
-
+
41249213856 = 25324716271873
BaseRepresentation
bin100110011010101001…
…010000110110100000
310221110201200011202100
4212122221100312200
51133434244320411
630541041450400
72660123350464
oct463251206640
9127421604670
1041249213856
1116548118994
127bb2340a00
133b74b18366
141dd446c4a4
1511164e4456
hex99aa50da0

41249213856 has 144 divisors (see below), whose sum is σ = 119935880064. Its totient is φ = 13441738752.

The previous prime is 41249213801. The next prime is 41249213861. The reversal of 41249213856 is 65831294214.

41249213856 is a `hidden beast` number, since 4 + 1 + 249 + 21 + 385 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22022136 + ... + 22024008.

It is an arithmetic number, because the mean of its divisors is an integer number (832888056).

Almost surely, 241249213856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41249213856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59967940032).

41249213856 is an abundant number, since it is smaller than the sum of its proper divisors (78686666208).

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

41249213856 is a wasteful number, since it uses less digits than its factorization.

41249213856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3552 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 41249213856 in words is "forty-one billion, two hundred forty-nine million, two hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1627 1692 1873 2256 3254 3384 3746 4512 4881 5619 6508 6768 7492 9762 11238 13016 13536 14643 14984 16857 19524 22476 26032 29286 29968 33714 39048 44952 52064 58572 59936 67428 76469 78096 88031 89904 117144 134856 152938 156192 176062 179808 229407 234288 264093 269712 305876 352124 458814 468576 528186 539424 611752 688221 704248 792279 917628 1056372 1223504 1376442 1408496 1584558 1835256 2112744 2447008 2752884 2816992 3047371 3169116 3670512 4225488 5505768 6094742 6338232 7341024 8450976 9142113 11011536 12189484 12676464 18284226 22023072 24378968 25352928 27426339 36568452 48757936 54852678 73136904 97515872 109705356 143226437 146273808 219410712 286452874 292547616 429679311 438821424 572905748 859358622 877642848 1145811496 1289037933 1718717244 2291622992 2578075866 3437434488 4583245984 5156151732 6874868976 10312303464 13749737952 20624606928 41249213856