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4023031012400 = 2452131461166541
BaseRepresentation
bin111010100010101111010…
…101011001110000110000
3112020121010221121100112102
4322202233111121300300
51011403131414344100
612320053244315532
7563440313245631
oct72425725316060
915217127540472
104023031012400
111311181143114
1254b834b42ba8
132324a742561a
14dca03dc1888
156e9acd93cd5
hex3a8af559c30

4023031012400 has 120 divisors (see below), whose sum is σ = 9760297832208. Its totient is φ = 1593454720000.

The previous prime is 4023031012391. The next prime is 4023031012447. The reversal of 4023031012400 is 42101303204.

4023031012400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24073130 + ... + 24239670.

Almost surely, 24023031012400 is an apocalyptic number.

4023031012400 is a gapful number since it is divisible by the number (40) 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 4023031012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4880148916104).

4023031012400 is an abundant number, since it is smaller than the sum of its proper divisors (5737266819808).

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

4023031012400 is a wasteful number, since it uses less digits than its factorization.

4023031012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167151 (or 167140 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 4023031012400 its reverse (42101303204), we get a palindrome (4065132315604).

The spelling of 4023031012400 in words is "four trillion, twenty-three billion, thirty-one million, twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 131 200 262 400 461 524 655 922 1048 1310 1844 2096 2305 2620 3275 3688 4610 5240 6550 7376 9220 10480 11525 13100 18440 23050 26200 36880 46100 52400 60391 92200 120782 166541 184400 241564 301955 333082 483128 603910 666164 832705 966256 1207820 1332328 1509775 1665410 2415640 2664656 3019550 3330820 4163525 4831280 6039100 6661640 8327050 12078200 13323280 16654100 21816871 24156400 33308200 43633742 66616400 76775401 87267484 109084355 153550802 174534968 218168710 307101604 349069936 383877005 436337420 545421775 614203208 767754010 872674840 1090843550 1228406416 1535508020 1745349680 1919385025 2181687100 3071016040 3838770050 4363374200 6142032080 7677540100 8726748400 10057577531 15355080200 20115155062 30710160400 40230310124 50287887655 80460620248 100575775310 160921240496 201151550620 251439438275 402303101240 502878876550 804606202480 1005757753100 2011515506200 4023031012400