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30643471914 = 2311331413019
BaseRepresentation
bin11100100010011111…
…100100011000101010
32221002121002122220020
4130202133210120222
51000224212100124
622024415541310
72133242133156
oct344237443052
987077078806
1030643471914
1111aa5494000
125b3252a836
132b747a1903
1416a9aaa066
15be5382379
hex7227e462a

30643471914 has 128 divisors (see below), whose sum is σ = 71306403840. Its totient is φ = 8764272000.

The previous prime is 30643471913. The next prime is 30643471927. The reversal of 30643471914 is 41917434603.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (30643471913) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10148697 + ... + 10151715.

It is an arithmetic number, because the mean of its divisors is an integer number (557081280).

Almost surely, 230643471914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30643471914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35653201920).

30643471914 is an abundant number, since it is smaller than the sum of its proper divisors (40662931926).

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

30643471914 is a wasteful number, since it uses less digits than its factorization.

30643471914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 30643471914 in words is "thirty billion, six hundred forty-three million, four hundred seventy-one thousand, nine hundred fourteen".

Divisors: 1 2 3 6 11 22 31 33 41 62 66 82 93 121 123 186 242 246 341 363 451 682 726 902 1023 1271 1331 1353 2046 2542 2662 2706 3019 3751 3813 3993 4961 6038 7502 7626 7986 9057 9922 11253 13981 14883 18114 22506 27962 29766 33209 41261 41943 54571 66418 82522 83886 93589 99627 109142 123779 123783 153791 163713 187178 199254 247558 247566 280767 307582 327426 365299 371337 461373 561534 730598 742674 922746 1029479 1095897 1361569 1691701 2058958 2191794 2723138 3088437 3383402 3837149 4018289 4084707 5075103 6176874 7674298 8036578 8169414 10150206 11324269 11511447 12054867 14977259 22648538 23022894 24109734 29954518 33972807 42208639 44931777 67945614 84417278 89863554 124566959 126625917 164749849 249133918 253251834 329499698 373700877 464295029 494249547 747401754 928590058 988499094 1392885087 2785770174 5107245319 10214490638 15321735957 30643471914