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2401314342020 = 22511461158314957
BaseRepresentation
bin100010111100011001011…
…111010000010010000100
322111120012201120201020222
4202330121133100102010
5303320342432421040
65035052032043512
7335326544062016
oct42743137202204
98446181521228
102401314342020
11846434386860
12329483393598
1314559b28c689
148431d4281b6
15426e4e9abb5
hex22f197d0484

2401314342020 has 96 divisors (see below), whose sum is σ = 5516977568256. Its totient is φ = 870702425600.

The previous prime is 2401314342001. The next prime is 2401314342029. The reversal of 2401314342020 is 202434131042.

It is not an unprimeable number, because it can be changed into a prime (2401314342029) 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, 160540382 + ... + 160555338.

It is an arithmetic number, because the mean of its divisors is an integer number (57468516336).

Almost surely, 22401314342020 is an apocalyptic number.

2401314342020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401314342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758488784128).

2401314342020 is an abundant number, since it is smaller than the sum of its proper divisors (3115663226236).

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

2401314342020 is a wasteful number, since it uses less digits than its factorization.

2401314342020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17021 (or 17019 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2401314342020 its reverse (202434131042), we get a palindrome (2603748473062).

The spelling of 2401314342020 in words is "two trillion, four hundred one billion, three hundred fourteen million, three hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 461 922 1583 1844 2305 3166 4610 5071 6332 7915 9220 10142 14957 15830 17413 20284 25355 29914 31660 34826 50710 59828 69652 74785 87065 101420 149570 164527 174130 299140 329054 348260 658108 729763 822635 1459526 1645270 2919052 3290540 3648815 6895177 7297630 8027393 13790354 14595260 16054786 23676931 27580708 32109572 34475885 40136965 47353862 68951770 75846947 80273930 94707724 118384655 137903540 151693894 160547860 236769310 260446241 303387788 379234735 473538620 520892482 758469470 1041784964 1302231205 1516938940 2604462410 5208924820 10915065191 21830130382 43660260764 54575325955 109150651910 120065717101 218301303820 240131434202 480262868404 600328585505 1200657171010 2401314342020