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5023214450400 = 253524744532043
BaseRepresentation
bin100100100011000111011…
…1010011011011011100000
3122210012210110012101122110
41021012032322123123200
51124300020344403100
614403344410435320
71025625636222426
oct111061672333340
918705713171573
105023214450400
111667373669763
12691648432b40
132a58c16c9b53
141351a6939116
158a9ea792250
hex4918ee9b6e0

5023214450400 has 144 divisors (see below), whose sum is σ = 16698447730944. Its totient is φ = 1311023316480.

The previous prime is 5023214450369. The next prime is 5023214450413. The reversal of 5023214450400 is 40544123205.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 22153222 + ... + 22378821.

It is an arithmetic number, because the mean of its divisors is an integer number (115961442576).

Almost surely, 25023214450400 is an apocalyptic number.

5023214450400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5023214450400 is an abundant number, since it is smaller than the sum of its proper divisors (11675233280544).

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

5023214450400 is a wasteful number, since it uses less digits than its factorization.

5023214450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44532113 (or 44532100 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 5023214450400 its reverse (40544123205), we get a palindrome (5063758573605).

The spelling of 5023214450400 in words is "five trillion, twenty-three billion, two hundred fourteen million, four hundred fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 47 48 50 60 75 80 94 96 100 120 141 150 160 188 200 235 240 282 300 376 400 470 480 564 600 705 752 800 940 1128 1175 1200 1410 1504 1880 2256 2350 2400 2820 3525 3760 4512 4700 5640 7050 7520 9400 11280 14100 18800 22560 28200 37600 56400 112800 44532043 89064086 133596129 178128172 222660215 267192258 356256344 445320430 534384516 667980645 712512688 890640860 1068769032 1113301075 1335961290 1425025376 1781281720 2093006021 2137538064 2226602150 2671922580 3339903225 3562563440 4186012042 4275076128 4453204300 5343845160 6279018063 6679806450 7125126880 8372024084 8906408600 10465030105 10687690320 12558036126 13359612900 16744048168 17812817200 20930060210 21375380640 25116072252 26719225800 31395090315 33488096336 35625634400 41860120420 50232144504 52325150525 53438451600 62790180630 66976192672 83720240840 100464289008 104650301050 106876903200 125580361260 156975451575 167440481680 200928578016 209300602100 251160722520 313950903150 334880963360 418601204200 502321445040 627901806300 837202408400 1004642890080 1255803612600 1674404816800 2511607225200 5023214450400