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42034010112 = 2113210721313
BaseRepresentation
bin100111001001011011…
…000001100000000000
311000111102101221211100
4213021123001200000
51142041201310422
631150554414400
73015433122303
oct471133014000
9130442357740
1042034010112
1116910114a36
128191131400
133c6b5a6c43
14206a79ab3a
1511603667ac
hex9c96c1800

42034010112 has 144 divisors (see below), whose sum is σ = 122542285320. Its totient is φ = 13879738368.

The previous prime is 42034010089. The next prime is 42034010147. The reversal of 42034010112 is 21101043024.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1961568 + ... + 1982880.

Almost surely, 242034010112 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 42034010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61271142660).

42034010112 is an abundant number, since it is smaller than the sum of its proper divisors (80508275208).

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

42034010112 is a wasteful number, since it uses less digits than its factorization.

42034010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21448 (or 21425 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42034010112 its reverse (21101043024), we get a palindrome (63135053136).

The spelling of 42034010112 in words is "forty-two billion, thirty-four million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 256 288 321 384 428 512 576 642 768 856 963 1024 1152 1284 1536 1712 1926 2048 2304 2568 3072 3424 3852 4608 5136 6144 6848 7704 9216 10272 13696 15408 18432 20544 21313 27392 30816 41088 42626 54784 61632 63939 82176 85252 109568 123264 127878 164352 170504 191817 219136 246528 255756 328704 341008 383634 493056 511512 657408 682016 767268 986112 1023024 1364032 1534536 1972224 2046048 2280491 2728064 3069072 4092096 4560982 5456128 6138144 6841473 8184192 9121964 10912256 12276288 13682946 16368384 18243928 20524419 21824512 24552576 27365892 32736768 36487856 41048838 43649024 49105152 54731784 65473536 72975712 82097676 98210304 109463568 130947072 145951424 164195352 196420608 218927136 291902848 328390704 392841216 437854272 583805696 656781408 875708544 1167611392 1313562816 1751417088 2335222784 2627125632 3502834176 4670445568 5254251264 7005668352 10508502528 14011336704 21017005056 42034010112