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4241934112 = 2513171274723
BaseRepresentation
bin1111110011010110…
…1100011100100000
3101221121221120122211
43330311230130200
532141413342422
61540531211504
7210055562563
oct37465543440
911847846584
104241934112
111887508979
129a4746b94
13527a9b9b0
142c35304da
1519c614577
hexfcd6c720

4241934112 has 96 divisors (see below), whose sum is σ = 9599772672. Its totient is φ = 1827753984.

The previous prime is 4241934077. The next prime is 4241934127. The reversal of 4241934112 is 2114391424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895783 + ... + 900505.

It is an arithmetic number, because the mean of its divisors is an integer number (99997632).

Almost surely, 24241934112 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 4241934112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799886336).

4241934112 is an abundant number, since it is smaller than the sum of its proper divisors (5357838560).

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

4241934112 is a wasteful number, since it uses less digits than its factorization.

4241934112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890 (or 4882 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 4241934112 is about 65130.1321355945. The cubic root of 4241934112 is about 1618.7805322486.

The spelling of 4241934112 in words is "four billion, two hundred forty-one million, nine hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 127 136 208 221 254 272 416 442 508 544 884 1016 1651 1768 2032 2159 3302 3536 4064 4318 4723 6604 7072 8636 9446 13208 17272 18892 26416 28067 34544 37784 52832 56134 61399 69088 75568 80291 112268 122798 151136 160582 224536 245596 321164 449072 491192 599821 642328 898144 982384 1043783 1199642 1284656 1964768 2087566 2399284 2569312 4175132 4798568 7797673 8350264 9597136 10196957 15595346 16700528 19194272 20393914 31190692 33401056 40787828 62381384 81575656 124762768 132560441 163151312 249525536 265120882 326302624 530241764 1060483528 2120967056 4241934112