Search a number
-
+
423402440440 = 235731451710799
BaseRepresentation
bin1100010100101001100…
…00001000011011111000
31111110212122101112002011
412022110300020123320
523414112011043230
6522301451415304
742406210235230
oct6122460103370
91443778345064
10423402440440
11153622704271
126a084754534
1330c07bb4835
14166c82cccc0
15b0311eee2a
hex6294c086f8

423402440440 has 128 divisors (see below), whose sum is σ = 1124222976000. Its totient is φ = 140439651840.

The previous prime is 423402440369. The next prime is 423402440443. The reversal of 423402440440 is 44044204324.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423402440443) 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, 39202161 + ... + 39212959.

It is an arithmetic number, because the mean of its divisors is an integer number (8782992000).

Almost surely, 2423402440440 is an apocalyptic number.

423402440440 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 423402440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562111488000).

423402440440 is an abundant number, since it is smaller than the sum of its proper divisors (700820535560).

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

423402440440 is a wasteful number, since it uses less digits than its factorization.

423402440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15365 (or 15361 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 31.

Adding to 423402440440 its reverse (44044204324), we get a palindrome (467446644764).

The spelling of 423402440440 in words is "four hundred twenty-three billion, four hundred two million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 4517 8680 9034 10799 18068 21598 22585 31619 36136 43196 45170 53995 63238 75593 86392 90340 107990 126476 140027 151186 158095 180680 215980 252952 280054 302372 316190 334769 377965 431960 560108 604744 632380 669538 700135 755930 980189 1120216 1264760 1339076 1400270 1511860 1673845 1960378 2343383 2678152 2800540 3023720 3347690 3920756 4686766 4900945 5601080 6695380 7841512 9373532 9801890 11716915 13390760 18747064 19603780 23433830 39207560 46867660 48779083 93735320 97558166 195116332 243895415 341453581 390232664 487790830 682907162 975581660 1365814324 1512151573 1707267905 1951163320 2731628648 3024303146 3414535810 6048606292 6829071620 7560757865 10585061011 12097212584 13658143240 15121515730 21170122022 30243031460 42340244044 52925305055 60486062920 84680488088 105850610110 211701220220 423402440440