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40918255056 = 2433722735953
BaseRepresentation
bin100110000110111010…
…110000010111010000
310220121122220201122000
4212012322300113100
51132300033130211
630444140114000
72645664300150
oct460672602720
9126548821560
1040918255056
1116398319718
127b1b535900
133b2139b053
141da251a760
1510e741c656
hex986eb05d0

40918255056 has 160 divisors (see below), whose sum is σ = 134310808320. Its totient is φ = 11683823616.

The previous prime is 40918255051. The next prime is 40918255067. The reversal of 40918255056 is 65055281904.

40918255056 is a `hidden beast` number, since 4 + 0 + 91 + 8 + 2 + 550 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40918255051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6870576 + ... + 6876528.

It is an arithmetic number, because the mean of its divisors is an integer number (839442552).

Almost surely, 240918255056 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 40918255056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67155404160).

40918255056 is an abundant number, since it is smaller than the sum of its proper divisors (93392553264).

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

40918255056 is a wasteful number, since it uses less digits than its factorization.

40918255056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8250 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 40918255056 in words is "forty billion, nine hundred eighteen million, two hundred fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 2273 3024 4546 5953 6819 9092 11906 13638 15911 17859 18184 20457 23812 27276 31822 35718 36368 40914 41671 47624 47733 53577 54552 61371 63644 71436 81828 83342 95248 95466 107154 109104 122742 125013 127288 142872 143199 160731 163656 166684 190932 214308 245484 250026 254576 285744 286398 321462 327312 333368 375039 381864 428616 429597 490968 500052 572796 642924 666736 750078 763728 857232 859194 981936 1000104 1125117 1145592 1285848 1500156 1718388 2000208 2250234 2291184 2571696 3000312 3436776 4500468 6000624 6873552 9000936 13531169 18001872 27062338 40593507 54124676 81187014 94718183 108249352 121780521 162374028 189436366 216498704 243561042 284154549 324748056 365341563 378872732 487122084 568309098 649496112 730683126 757745464 852463647 974244168 1136618196 1461366252 1515490928 1704927294 1948488336 2273236392 2557390941 2922732504 3409854588 4546472784 5114781882 5845465008 6819709176 10229563764 13639418352 20459127528 40918255056