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42014222300 = 22522695412887
BaseRepresentation
bin100111001000001111…
…100010011111011100
311000110001011122001102
4213020033202133130
51142021120103200
631145010332232
73015102666011
oct471017423734
9130401148042
1042014222300
11168aaa2a076
12818658a078
133c6746928b
142067cc9708
15115d7586d5
hex9c83e27dc

42014222300 has 72 divisors (see below), whose sum is σ = 91710692640. Its totient is φ = 16706476800.

The previous prime is 42014222293. The next prime is 42014222309. The reversal of 42014222300 is 322241024.

It is a super-3 number, since 3×420142223003 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42014222309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14551457 + ... + 14554343.

It is an arithmetic number, because the mean of its divisors is an integer number (1273759620).

Almost surely, 242014222300 is an apocalyptic number.

It is an amenable number.

42014222300 is an abundant number, since it is smaller than the sum of its proper divisors (49696470340).

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

42014222300 is a wasteful number, since it uses less digits than its factorization.

42014222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42014222300 its reverse (322241024), we get a palindrome (42336463324).

The spelling of 42014222300 in words is "forty-two billion, fourteen million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 269 538 541 1076 1082 1345 2164 2690 2705 2887 5380 5410 5774 6725 10820 11548 13450 13525 14435 26900 27050 28870 54100 57740 72175 144350 145529 288700 291058 582116 727645 776603 1455290 1553206 1561867 2910580 3106412 3123734 3638225 3883015 6247468 7276450 7766030 7809335 14552900 15532060 15618670 19415075 31237340 38830150 39046675 77660300 78093350 156186700 420142223 840284446 1680568892 2100711115 4201422230 8402844460 10503555575 21007111150 42014222300