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42622016140 = 225111718716091
BaseRepresentation
bin100111101100011110…
…000101101010001100
311002000101211202110101
4213230132011222030
51144242214004030
631325201420444
73036133105504
oct475436055214
9132011752411
1042622016140
1117092020630
12831603a724
1340333634c2
1420c4900a04
151196cb57ca
hex9ec785a8c

42622016140 has 96 divisors (see below), whose sum is σ = 103459120128. Its totient is φ = 14577024000.

The previous prime is 42622016137. The next prime is 42622016149. The reversal of 42622016140 is 4161022624.

42622016140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42622016099 and 42622016108.

It is not an unprimeable number, because it can be changed into a prime (42622016149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6994495 + ... + 7000585.

It is an arithmetic number, because the mean of its divisors is an integer number (1077699168).

Almost surely, 242622016140 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 42622016140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51729560064).

42622016140 is an abundant number, since it is smaller than the sum of its proper divisors (60837103988).

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

42622016140 is a wasteful number, since it uses less digits than its factorization.

42622016140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7999 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 42622016140 its reverse (4161022624), we get a palindrome (46783038764).

The spelling of 42622016140 in words is "forty-two billion, six hundred twenty-two million, sixteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 1871 3740 3742 6091 7484 9355 12182 18710 20581 24364 30455 31807 37420 41162 60910 63614 67001 82324 102905 103547 121820 127228 134002 159035 205810 207094 268004 318070 335005 349877 411620 414188 517735 636140 670010 699754 1035470 1139017 1340020 1399508 1749385 2070940 2278034 3498770 4556068 5695085 6997540 11390170 11396261 22780340 22792522 45585044 56981305 113962610 125358871 193736437 227925220 250717742 387472874 501435484 626794355 774945748 968682185 1253588710 1937364370 2131100807 2507177420 3874728740 4262201614 8524403228 10655504035 21311008070 42622016140