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424070070424 = 2371113139380977
BaseRepresentation
bin1100010101111001000…
…10111100000010011000
31111112121011122122020121
412022330202330002120
523421443414223144
6522452021203024
742431565060310
oct6127442740230
91445534578217
10424070070424
11153935554590
126a230260474
1330cb32cc270
141674cc3c440
15b06eb2b384
hex62bc8bc098

424070070424 has 128 divisors (see below), whose sum is σ = 1075272307200. Its totient is φ = 151415101440.

The previous prime is 424070070397. The next prime is 424070070497.

424070070424 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 424070070424.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 922624 + ... + 1303600.

It is an arithmetic number, because the mean of its divisors is an integer number (8400564900).

Almost surely, 2424070070424 is an apocalyptic number.

424070070424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424070070424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537636153600).

424070070424 is an abundant number, since it is smaller than the sum of its proper divisors (651202236776).

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

424070070424 is a wasteful number, since it uses less digits than its factorization.

424070070424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381153 (or 381149 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 34.

The spelling of 424070070424 in words is "four hundred twenty-four billion, seventy million, seventy thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 139 143 154 182 278 286 308 364 556 572 616 728 973 1001 1112 1144 1529 1807 1946 2002 3058 3614 3892 4004 6116 7228 7784 8008 10703 12232 12649 14456 19877 21406 25298 39754 42812 50596 79508 85624 101192 139139 159016 278278 380977 556556 761954 1113112 1523908 2666839 3047816 4190747 4952701 5333678 8381494 9905402 10667356 16762988 19810804 21334712 29335229 33525976 34668907 39621608 52955803 54479711 58670458 69337814 105911606 108959422 117340916 138675628 211823212 217918844 234681832 277351256 370690621 381357977 423646424 435837688 582513833 688425439 741381242 762715954 1165027666 1376850878 1482762484 1525431908 2330055332 2753701756 2965524968 3050863816 4077596831 4660110664 4818978073 5507403512 7572679829 8155193662 9637956146 15145359658 16310387324 19275912292 30290719316 32620774648 38551824584 53008758803 60581438632 106017517606 212035035212 424070070424