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43144441020 = 2235573121609
BaseRepresentation
bin101000001011100110…
…111110110010111100
311010100210212200200000
4220023212332302330
51201324434103040
631453103034300
73055105461222
oct501346766274
9133323780600
1043144441020
111732aa0412a
128440b9b990
1340b766a655
142134052b12
1511c7aad130
hexa0b9becbc

43144441020 has 144 divisors (see below), whose sum is σ = 137578852320. Its totient is φ = 11347485696.

The previous prime is 43144440979. The next prime is 43144441031. The reversal of 43144441020 is 2014444134.

It is a super-2 number, since 2×431444410202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 293976 + ... + 415584.

Almost surely, 243144441020 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 43144441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68789426160).

43144441020 is an abundant number, since it is smaller than the sum of its proper divisors (94434411300).

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

43144441020 is a wasteful number, since it uses less digits than its factorization.

43144441020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121706 (or 121692 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 43144441020 its reverse (2014444134), we get a palindrome (45158885154).

The spelling of 43144441020 in words is "forty-three billion, one hundred forty-four million, four hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 81 90 108 135 146 162 180 219 243 270 292 324 365 405 438 486 540 657 730 810 876 972 1095 1215 1314 1460 1620 1971 2190 2430 2628 3285 3942 4380 4860 5913 6570 7884 9855 11826 13140 17739 19710 23652 29565 35478 39420 59130 70956 88695 118260 121609 177390 243218 354780 364827 486436 608045 729654 1094481 1216090 1459308 1824135 2188962 2432180 3283443 3648270 4377924 5472405 6566886 7296540 8877457 9850329 10944810 13133772 16417215 17754914 19700658 21889620 26632371 29550987 32834430 35509828 39401316 44387285 49251645 53264742 59101974 65668860 79897113 88774570 98503290 106529484 118203948 133161855 147754935 159794226 177549140 197006580 239691339 266323710 295509870 319588452 399485565 479382678 532647420 591019740 719074017 798971130 958765356 1198456695 1438148034 1597942260 2157222051 2396913390 2876296068 3595370085 4314444102 4793826780 7190740170 8628888204 10786110255 14381480340 21572220510 43144441020