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54410442114 = 23721724115619
BaseRepresentation
bin110010101011000111…
…010111010110000010
312012102221211211210210
4302223013113112002
51342413033121424
640555032334550
73634225061400
oct625307272602
9165387754723
1054410442114
1121091304536
12a665b44456
13519171a8a2
1428c23a6470
151636b92729
hexcab1d7582

54410442114 has 144 divisors (see below), whose sum is σ = 137760527520. Its totient is φ = 14273602560.

The previous prime is 54410442071. The next prime is 54410442157. The reversal of 54410442114 is 41124401445.

54410442114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54410442071) and next prime (54410442157).

It is a super-2 number, since 2×544104421142 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3475797 + ... + 3491415.

It is an arithmetic number, because the mean of its divisors is an integer number (956670330).

Almost surely, 254410442114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54410442114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68880263760).

54410442114 is an abundant number, since it is smaller than the sum of its proper divisors (83350085406).

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

54410442114 is a wasteful number, since it uses less digits than its factorization.

54410442114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15713 (or 15689 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 54410442114 its reverse (41124401445), we get a palindrome (95534843559).

The spelling of 54410442114 in words is "fifty-four billion, four hundred ten million, four hundred forty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 41 42 49 51 82 98 102 119 123 147 238 246 287 289 294 357 574 578 697 714 833 861 867 1394 1666 1722 1734 2009 2023 2091 2499 4018 4046 4182 4879 4998 6027 6069 9758 11849 12054 12138 14161 14637 15619 23698 28322 29274 31238 34153 35547 42483 46857 68306 71094 82943 84966 93714 102459 109333 165886 204918 218666 248829 265523 327999 497658 531046 580601 640379 655998 765331 796569 1161202 1280758 1530662 1593138 1741803 1858661 1921137 2295993 3483606 3717322 3842274 4482653 4513891 4591986 5575983 8965306 9027782 10886443 11151966 13010627 13447959 13541673 21772886 26021254 26895918 27083346 31378571 31597237 32659329 39031881 62757142 63194474 65318658 76205101 78063762 94135713 94791711 152410202 185069531 188271426 189583422 221180659 228615303 370139062 442361318 457230606 533435707 555208593 663541977 1066871414 1110417186 1295486717 1327083954 1600307121 2590973434 3200614242 3886460151 7772920302 9068407019 18136814038 27205221057 54410442114