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44251305420 = 22357307343193
BaseRepresentation
bin101001001101100101…
…010101010111001100
311020012221122020011210
4221031211111113030
51211111313233140
632155003014420
73124405614150
oct511545252714
9136187566153
1044251305420
11178487877a3
1286ab80a410
134232a828ba
1421db05b060
15123ed4cd80
hexa4d9555cc

44251305420 has 96 divisors (see below), whose sum is σ = 142065842688. Its totient is φ = 10081608192.

The previous prime is 44251305409. The next prime is 44251305443. The reversal of 44251305420 is 2450315244.

44251305420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 42657 + ... + 300536.

It is an arithmetic number, because the mean of its divisors is an integer number (1479852528).

Almost surely, 244251305420 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 44251305420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71032921344).

44251305420 is an abundant number, since it is smaller than the sum of its proper divisors (97814537268).

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

44251305420 is a wasteful number, since it uses less digits than its factorization.

44251305420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343519 (or 343517 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 44251305420 in words is "forty-four billion, two hundred fifty-one million, three hundred five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 307 420 614 921 1228 1535 1842 2149 3070 3684 4298 4605 6140 6447 8596 9210 10745 12894 18420 21490 25788 32235 42980 64470 128940 343193 686386 1029579 1372772 1715965 2059158 2402351 3431930 4118316 4804702 5147895 6863860 7207053 9609404 10295790 12011755 14414106 20591580 24023510 28828212 36035265 48047020 72070530 105360251 144141060 210720502 316080753 421441004 526801255 632161506 737521757 1053602510 1264323012 1475043514 1580403765 2107205020 2212565271 2950087028 3160807530 3687608785 4425130542 6321615060 7375217570 8850261084 11062826355 14750435140 22125652710 44251305420