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244304320020 = 223537229310151
BaseRepresentation
bin1110001110000110101…
…1000001011000010100
3212100120222200100000220
43203201223001120110
513000313401220040
6304122025234340
723436042312525
oct3434153013024
9770528610026
10244304320020
1194677468612
123b4210329b0
131a065074357
14bb781bc84c
15654cc952d0
hex38e1ac1614

244304320020 has 144 divisors (see below), whose sum is σ = 705508610688. Its totient is φ = 63164505600.

The previous prime is 244304320009. The next prime is 244304320031. The reversal of 244304320020 is 20023403442.

It is an interprime number because it is at equal distance from previous prime (244304320009) and next prime (244304320031).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24061945 + ... + 24072095.

It is an arithmetic number, because the mean of its divisors is an integer number (4899365352).

Almost surely, 2244304320020 is an apocalyptic number.

244304320020 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 244304320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352754305344).

244304320020 is an abundant number, since it is smaller than the sum of its proper divisors (461204290668).

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

244304320020 is a wasteful number, since it uses less digits than its factorization.

244304320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10530 (or 10491 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 244304320020 its reverse (20023403442), we get a palindrome (264327723462).

The spelling of 244304320020 in words is "two hundred forty-four billion, three hundred four million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 293 370 444 555 586 740 879 1110 1172 1369 1465 1758 2220 2738 2930 3516 4107 4395 5476 5860 6845 8214 8790 10151 10841 13690 16428 17580 20302 20535 21682 27380 30453 32523 40604 41070 43364 50755 54205 60906 65046 82140 101510 108410 121812 130092 152265 162615 203020 216820 304530 325230 375587 401117 609060 650460 751174 802234 1126761 1203351 1502348 1604468 1877935 2005585 2253522 2406702 2974243 3755870 4011170 4507044 4813404 5633805 5948486 6016755 7511740 8022340 8922729 11267610 11896972 12033510 13896719 14871215 17845458 22535220 24067020 27793438 29742430 35690916 41690157 44613645 55586876 59484860 69483595 83380314 89227290 110046991 138967190 166760628 178454580 208450785 220093982 277934380 330140973 416901570 440187964 550234955 660281946 833803140 1100469910 1320563892 1650704865 2200939820 3301409730 4071738667 6602819460 8143477334 12215216001 16286954668 20358693335 24430432002 40717386670 48860864004 61076080005 81434773340 122152160010 244304320020