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145063803389400 = 233252711513000269
BaseRepresentation
bin100000111110111101001100…
…011110001000010111011000
3201000121222000212200200011200
4200332331030132020113120
5123003211132131430100
61232305220303354200
742361341164642610
oct4076751436102730
9630558025620150
10145063803389400
1142249239231595
121432a4062b2960
1362c35c51b4bcc
1427b71a86dba40
1511b86982eae00
hex83ef4c7885d8

145063803389400 has 144 divisors (see below), whose sum is σ = 556768693057200. Its totient is φ = 33157440771840.

The previous prime is 145063803389399. The next prime is 145063803389447. The reversal of 145063803389400 is 4983308360541.

145063803389400 is a `hidden beast` number, since 1 + 4 + 50 + 6 + 3 + 80 + 33 + 89 + 400 = 666.

145063803389400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5756487535 + ... + 5756512734.

Almost surely, 2145063803389400 is an apocalyptic number.

145063803389400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145063803389400 is an abundant number, since it is smaller than the sum of its proper divisors (411704889667800).

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

145063803389400 is a wasteful number, since it uses less digits than its factorization.

145063803389400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11513000298 (or 11513000286 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 145063803389400 in words is "one hundred forty-five trillion, sixty-three billion, eight hundred three million, three hundred eighty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 11513000269 23026000538 34539000807 46052001076 57565001345 69078001614 80591001883 92104002152 103617002421 115130002690 138156003228 161182003766 172695004035 207234004842 230260005380 241773005649 276312006456 287825006725 322364007532 345390008070 402955009415 414468009684 460520010760 483546011298 518085012105 575650013450 644728015064 690780016140 725319016947 805910018830 828936019368 863475020175 967092022596 1036170024210 1151300026900 1208865028245 1381560032280 1450638033894 1611820037660 1726950040350 1934184045192 2014775047075 2072340048420 2302600053800 2417730056490 2590425060525 2901276067788 3223640075320 3453900080700 3626595084735 4029550094150 4144680096840 4835460112980 5180850121050 5802552135576 6044325141225 6907800161400 7253190169470 8059100188300 9670920225960 10361700242100 12088650282450 14506380338940 16118200376600 18132975423675 20723400484200 24177300564900 29012760677880 36265950847350 48354601129800 72531901694700 145063803389400