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23400324031200 = 2535243122622123
BaseRepresentation
bin1010101001000010100000…
…00000000110001011100000
310001212001022211000122100020
411110201100000012023200
511031342330422444300
6121433543242553440
74633421562265254
oct524412000061340
9101761284018306
1023400324031200
117502026963596
12275b181208880
131009844614cbc
145ac820384264
152a8a6967c8a0
hex1548500062e0

23400324031200 has 144 divisors (see below), whose sum is σ = 76344782121216. Its totient is φ = 6225607974400.

The previous prime is 23400324031199. The next prime is 23400324031243. The reversal of 23400324031200 is 213042300432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10276662 + ... + 12345461.

It is an arithmetic number, because the mean of its divisors is an integer number (530172098064).

Almost surely, 223400324031200 is an apocalyptic number.

23400324031200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23400324031200 is an abundant number, since it is smaller than the sum of its proper divisors (52944458090016).

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

23400324031200 is a wasteful number, since it uses less digits than its factorization.

23400324031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22622577 (or 22622564 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23400324031200 its reverse (213042300432), we get a palindrome (23613366331632).

The spelling of 23400324031200 in words is "twenty-three trillion, four hundred billion, three hundred twenty-four million, thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 431 480 600 800 862 1200 1293 1724 2155 2400 2586 3448 4310 5172 6465 6896 8620 10344 10775 12930 13792 17240 20688 21550 25860 32325 34480 41376 43100 51720 64650 68960 86200 103440 129300 172400 206880 258600 344800 517200 1034400 22622123 45244246 67866369 90488492 113110615 135732738 180976984 226221230 271465476 339331845 361953968 452442460 542930952 565553075 678663690 723907936 904884920 1085861904 1131106150 1357327380 1696659225 1809769840 2171723808 2262212300 2714654760 3393318450 3619539680 4524424600 5429309520 6786636900 9048849200 9750135013 10858619040 13573273800 18097698400 19500270026 27146547600 29250405039 39000540052 48750675065 54293095200 58500810078 78001080104 97501350130 117001620156 146252025195 156002160208 195002700260 234003240312 243753375325 292504050390 312004320416 390005400520 468006480624 487506750650 585008100780 731260125975 780010801040 936012961248 975013501300 1170016201560 1462520251950 1560021602080 1950027002600 2340032403120 2925040503900 3900054005200 4680064806240 5850081007800 7800108010400 11700162015600 23400324031200