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244201423440 = 243513463169049
BaseRepresentation
bin1110001101101110001…
…0100000001001010000
3212100022211001122110110
43203123202200021100
513000111031022230
6304103512001320
723433352564512
oct3433342401120
9770284048413
10244201423440
1194624378917
123b3b2690240
131a0499582c0
14bb68675bb2
156543c1c4b0
hex38db8a0250

244201423440 has 160 divisors (see below), whose sum is σ = 817022707200. Its totient is φ = 59980935168.

The previous prime is 244201423429. The next prime is 244201423511. The reversal of 244201423440 is 44324102442.

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

It is a junction number, because it is equal to n+sod(n) for n = 244201423398 and 244201423407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1360036 + ... + 1529084.

It is an arithmetic number, because the mean of its divisors is an integer number (5106391920).

Almost surely, 2244201423440 is an apocalyptic number.

244201423440 is a gapful number since it is divisible by the number (20) 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 244201423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408511353600).

244201423440 is an abundant number, since it is smaller than the sum of its proper divisors (572821283760).

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

244201423440 is a wasteful number, since it uses less digits than its factorization.

244201423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169541 (or 169535 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 244201423440 its reverse (44324102442), we get a palindrome (288525525882).

The spelling of 244201423440 in words is "two hundred forty-four billion, two hundred one million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 463 520 624 780 926 1040 1389 1560 1852 2315 2778 3120 3704 4630 5556 6019 6945 7408 9260 11112 12038 13890 18057 18520 22224 24076 27780 30095 36114 37040 48152 55560 60190 72228 90285 96304 111120 120380 144456 169049 180570 240760 288912 338098 361140 481520 507147 676196 722280 845245 1014294 1352392 1444560 1690490 2028588 2197637 2535735 2704784 3380980 4057176 4395274 5071470 6592911 6761960 8114352 8790548 10142940 10988185 13185822 13523920 17581096 20285880 21976370 26371644 32964555 35162192 40571760 43952740 52743288 65929110 78269687 87905480 105486576 131858220 156539374 175810960 234809061 263716440 313078748 391348435 469618122 527432880 626157496 782696870 939236244 1017505931 1174045305 1252314992 1565393740 1878472488 2035011862 2348090610 3052517793 3130787480 3756944976 4070023724 4696181220 5087529655 6105035586 6261574960 8140047448 9392362440 10175059310 12210071172 15262588965 16280094896 18784724880 20350118620 24420142344 30525177930 40700237240 48840284688 61050355860 81400474480 122100711720 244201423440