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44320421340 = 223251383228197
BaseRepresentation
bin101001010001101100…
…111111010111011100
311020101202200200101200
4221101230333113130
51211232011440330
632205512235500
73126205236246
oct512154772734
9136352620350
1044320421340
11178837a4598
12870a99bb90
1342441a1bb0
1422062cd096
151245e51a60
hexa51b3f5dc

44320421340 has 144 divisors (see below), whose sum is σ = 146525023008. Its totient is φ = 10778153472.

The previous prime is 44320421333. The next prime is 44320421357. The reversal of 44320421340 is 4312402344.

It is a happy number.

44320421340 is a `hidden beast` number, since 443 + 2 + 0 + 4 + 213 + 4 + 0 = 666.

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, 80122 + ... + 308318.

It is an arithmetic number, because the mean of its divisors is an integer number (1017534882).

Almost surely, 244320421340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44320421340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73262511504).

44320421340 is an abundant number, since it is smaller than the sum of its proper divisors (102204601668).

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

44320421340 is a wasteful number, since it uses less digits than its factorization.

44320421340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228308 (or 228303 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 44320421340 its reverse (4312402344), we get a palindrome (48632823684).

The spelling of 44320421340 in words is "forty-four billion, three hundred twenty million, four hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 83 90 117 130 156 166 180 195 234 249 260 332 390 415 468 498 585 747 780 830 996 1079 1170 1245 1494 1660 2158 2340 2490 2988 3237 3735 4316 4980 5395 6474 7470 9711 10790 12948 14940 16185 19422 21580 32370 38844 48555 64740 97110 194220 228197 456394 684591 912788 1140985 1369182 2053773 2281970 2738364 2966561 3422955 4107546 4563940 5933122 6845910 8215092 8899683 10268865 11866244 13691820 14832805 17799366 18940351 20537730 26699049 29665610 35598732 37880702 41075460 44498415 53398098 56821053 59331220 75761404 88996830 94701755 106796196 113642106 133495245 170463159 177993660 189403510 227284212 246224563 266990490 284105265 340926318 378807020 492449126 533980980 568210530 681852636 738673689 852315795 984898252 1136421060 1231122815 1477347378 1704631590 2216021067 2462245630 2954694756 3409263180 3693368445 4432042134 4924491260 7386736890 8864084268 11080105335 14773473780 22160210670 44320421340