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41250209004 = 223223107467997
BaseRepresentation
bin100110011010101101…
…000011110011101100
310221110210112201211200
4212122231003303230
51133440023142004
630541115045500
72660134664004
oct463255036354
9127423481750
1041250209004
1116548738624
127bb2740890
133b750a62c4
141dd464b004
15111663e239
hex99ab43cec

41250209004 has 144 divisors (see below), whose sum is σ = 110167319808. Its totient is φ = 12988381824.

The previous prime is 41250208999. The next prime is 41250209023. The reversal of 41250209004 is 40090205214.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 41373834 + ... + 41374830.

It is an arithmetic number, because the mean of its divisors is an integer number (765050832).

Almost surely, 241250209004 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 41250209004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55083659904).

41250209004 is an abundant number, since it is smaller than the sum of its proper divisors (68917110804).

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

41250209004 is a wasteful number, since it uses less digits than its factorization.

41250209004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 41250209004 in words is "forty-one billion, two hundred fifty million, two hundred nine thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 107 138 207 214 276 321 414 428 467 642 828 934 963 997 1284 1401 1868 1926 1994 2461 2802 2991 3852 3988 4203 4922 5604 5982 7383 8406 8973 9844 10741 11964 14766 16812 17946 21482 22149 22931 29532 32223 35892 42964 44298 45862 49969 64446 68793 88596 91724 96669 99938 106679 128892 137586 149907 193338 199876 206379 213358 275172 299814 320037 386676 412758 426716 449721 465599 599628 640074 825516 899442 931198 960111 1149287 1280148 1396797 1798884 1862396 1920222 2298574 2453617 2793594 3447861 3840444 4190391 4597148 4907234 5587188 6895722 7360851 8380782 9814468 10343583 10708777 13791444 14721702 16761564 20687166 21417554 22082553 29443404 32126331 41374332 42835108 44165106 49819093 64252662 88330212 96378993 99638186 128505324 149457279 192757986 199276372 298914558 385515972 448371837 597829116 896743674 1145839139 1793487348 2291678278 3437517417 4583356556 6875034834 10312552251 13750069668 20625104502 41250209004