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4234021013024 = 2511372417134503
BaseRepresentation
bin111101100111001111010…
…100011000011000100000
3112222202202012111220200222
4331213033110120120200
51023332233334404044
613001025444302212
7614616662541035
oct75471724303040
915882665456628
104234021013024
111392702532460
125846b90a1968
1324936057a93a
14108cdb8cd38c
157520b07e8ee
hex3d9cf518620

4234021013024 has 96 divisors (see below), whose sum is σ = 9343226745216. Its totient is φ = 1871751352320.

The previous prime is 4234021013017. The next prime is 4234021013041. The reversal of 4234021013024 is 4203101204324.

It is a junction number, because it is equal to n+sod(n) for n = 4234021012984 and 4234021013002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31411757 + ... + 31546259.

It is an arithmetic number, because the mean of its divisors is an integer number (97325278596).

Almost surely, 24234021013024 is an apocalyptic number.

4234021013024 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 4234021013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671613372608).

4234021013024 is an abundant number, since it is smaller than the sum of its proper divisors (5109205732192).

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

4234021013024 is a wasteful number, since it uses less digits than its factorization.

4234021013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136978 (or 136970 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 4234021013024 its reverse (4203101204324), we get a palindrome (8437122217348).

The spelling of 4234021013024 in words is "four trillion, two hundred thirty-four billion, twenty-one million, thirteen thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 592 814 1184 1628 2417 3256 4834 6512 9668 13024 19336 26587 38672 53174 77344 89429 106348 134503 178858 212696 269006 357716 425392 538012 715432 850784 983719 1076024 1430864 1479533 1967438 2152048 2861728 2959066 3934876 4304096 4976611 5918132 7869752 9953222 11836264 15739504 19906444 23672528 31479008 39812888 47345056 54742721 79625776 109485442 159251552 218970884 325093751 437941768 650187502 875883536 1300375004 1751767072 2600750008 3576031261 5201500016 7152062522 10403000032 12028468787 14304125044 24056937574 28608250088 48113875148 57216500176 96227750296 114433000352 132313156657 192455500592 264626313314 384911001184 529252626628 1058505253256 2117010506512 4234021013024