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40541552244 = 22335331722343
BaseRepresentation
bin100101110000011101…
…101111111001110100
310212122102002020112000
4211300131233321310
51131012114132434
630342522055300
72633441336214
oct456035577164
9125572066460
1040541552244
1116214716286
127a3534a530
133a9132588b
141d6849c244
1510c430bb99
hex97076fe74

40541552244 has 96 divisors (see below), whose sum is σ = 107433527040. Its totient is φ = 13216454784.

The previous prime is 40541552231. The next prime is 40541552257. The reversal of 40541552244 is 44225514504.

40541552244 is a `hidden beast` number, since 4 + 0 + 541 + 55 + 22 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (40541552231) and next prime (40541552257).

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

It is a junction number, because it is equal to n+sod(n) for n = 40541552199 and 40541552208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1803337 + ... + 1825679.

It is an arithmetic number, because the mean of its divisors is an integer number (1119099240).

Almost surely, 240541552244 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 40541552244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53716763520).

40541552244 is an abundant number, since it is smaller than the sum of its proper divisors (66891974796).

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

40541552244 is a wasteful number, since it uses less digits than its factorization.

40541552244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22726 (or 22718 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 40541552244 in words is "forty billion, five hundred forty-one million, five hundred fifty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 317 318 477 634 636 951 954 1268 1431 1902 1908 2853 2862 3804 5706 5724 8559 11412 16801 17118 22343 33602 34236 44686 50403 67029 67204 89372 100806 134058 151209 201087 201612 268116 302418 402174 453627 603261 604836 804348 907254 1184179 1206522 1814508 2368358 2413044 3552537 4736716 7082731 7105074 10657611 14165462 14210148 21248193 21315222 28330924 31972833 42496386 42630444 63744579 63945666 84992772 127489158 127891332 191233737 254978316 375384743 382467474 750769486 764934948 1126154229 1501538972 2252308458 3378462687 4504616916 6756925374 10135388061 13513850748 20270776122 40541552244