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455242066140 = 223531479951001
BaseRepresentation
bin1101001111111101000…
…10101010100011011100
31121112001121021002111110
412213332202222203130
524424313432104030
6545045121222020
744614215500301
oct6477642524334
91545047232443
10455242066140
11166081307314
127428b791910
1333c10432044
1418068ba70a8
15bc965ad1b0
hex69fe8aa8dc

455242066140 has 96 divisors (see below), whose sum is σ = 1316096409600. Its totient is φ = 117455040000.

The previous prime is 455242066133. The next prime is 455242066187. The reversal of 455242066140 is 41660242554.

It is a super-2 number, since 2×4552420661402 (a number of 24 digits) contains 22 as substring.

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, 8900640 + ... + 8951640.

It is an arithmetic number, because the mean of its divisors is an integer number (13709337600).

Almost surely, 2455242066140 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 455242066140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658048204800).

455242066140 is an abundant number, since it is smaller than the sum of its proper divisors (860854343460).

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

455242066140 is a wasteful number, since it uses less digits than its factorization.

455242066140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55843 (or 55841 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 455242066140 in words is "four hundred fifty-five billion, two hundred forty-two million, sixty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 4799 9598 14397 19196 23995 28794 47990 51001 57588 71985 95980 102002 143970 148769 153003 204004 255005 287940 297538 306006 446307 510010 595076 612012 743845 765015 892614 1020020 1487690 1530030 1581031 1785228 2231535 2975380 3060060 3162062 4463070 4743093 6324124 7905155 8926140 9486186 15810310 18972372 23715465 31620620 47430930 94861860 244753799 489507598 734261397 979015196 1223768995 1468522794 2447537990 2937045588 3671306985 4895075980 7342613970 7587367769 14685227940 15174735538 22762103307 30349471076 37936838845 45524206614 75873677690 91048413228 113810516535 151747355380 227621033070 455242066140