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44310042420 = 22357247320669
BaseRepresentation
bin101001010001000101…
…011001011100110100
311020101001011101012020
4221101011121130310
51211221332324140
632204501553140
73126021101100
oct512105313464
9136331141166
1044310042420
1117878955776
1287074157b0
134241ca9a17
142204b8a900
1512450a16d0
hexa51159734

44310042420 has 144 divisors (see below), whose sum is σ = 147395324160. Its totient is φ = 9912489216.

The previous prime is 44310042419. The next prime is 44310042421. The reversal of 44310042420 is 2424001344.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (44310042419) and next prime (44310042421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44310042421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22155 + ... + 298514.

It is an arithmetic number, because the mean of its divisors is an integer number (1023578640).

Almost surely, 244310042420 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 44310042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73697662080).

44310042420 is an abundant number, since it is smaller than the sum of its proper divisors (103085281740).

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

44310042420 is a wasteful number, since it uses less digits than its factorization.

44310042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320742 (or 320733 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 44310042420 its reverse (2424001344), we get a palindrome (46734043764).

The spelling of 44310042420 in words is "forty-four billion, three hundred ten million, forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 49 60 70 84 94 98 105 140 141 147 188 196 210 235 245 282 294 329 420 470 490 564 588 658 705 735 940 980 987 1316 1410 1470 1645 1974 2303 2820 2940 3290 3948 4606 4935 6580 6909 9212 9870 11515 13818 19740 23030 27636 34545 46060 69090 138180 320669 641338 962007 1282676 1603345 1924014 2244683 3206690 3848028 4489366 4810035 6413380 6734049 8978732 9620070 11223415 13468098 15071443 15712781 19240140 22446830 26936196 30142886 31425562 33670245 44893660 45214329 47138343 60285772 62851124 67340490 75357215 78563905 90428658 94276686 105500101 134680980 150714430 157127810 180857316 188553372 211000202 226071645 235691715 301428860 314255620 316500303 422000404 452143290 471383430 527500505 633000606 738500707 904286580 942766860 1055001010 1266001212 1477001414 1582501515 2110002020 2215502121 2954002828 3165003030 3692503535 4431004242 6330006060 7385007070 8862008484 11077510605 14770014140 22155021210 44310042420