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4020831249424 = 2411416160115199
BaseRepresentation
bin111010100000101100001…
…101111110010000010000
3112020101110122100211000121
4322200230031332100100
51011334130244440144
612315051104000024
7563331642464533
oct72405415762020
915211418324017
104020831249424
111310252465690
1254b320300014
13232216777b22
14dc875ba6a1a
156e8cebc2384
hex3a82c37e410

4020831249424 has 160 divisors (see below), whose sum is σ = 8863882675200. Its totient is φ = 1750809600000.

The previous prime is 4020831249377. The next prime is 4020831249469. The reversal of 4020831249424 is 4249421380204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264538177 + ... + 264553375.

It is an arithmetic number, because the mean of its divisors is an integer number (55399266720).

Almost surely, 24020831249424 is an apocalyptic number.

4020831249424 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 4020831249424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431941337600).

4020831249424 is an abundant number, since it is smaller than the sum of its proper divisors (4843051425776).

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

4020831249424 is a wasteful number, since it uses less digits than its factorization.

4020831249424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15921 (or 15915 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 4020831249424 in words is "four trillion, twenty billion, eight hundred thirty-one million, two hundred forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 41 44 61 82 88 122 164 176 244 328 451 488 601 656 671 902 976 1202 1342 1804 2404 2501 2684 3608 4808 5002 5368 6611 7216 9616 10004 10736 13222 15199 20008 24641 26444 27511 30398 36661 40016 49282 52888 55022 60796 73322 98564 105776 110044 121592 146644 167189 197128 220088 243184 271051 293288 334378 394256 403271 440176 542102 586576 623159 668756 806542 927139 1084204 1246318 1337512 1503101 1613084 1854278 2168408 2492636 2675024 3006202 3226168 3708556 4336816 4985272 6012404 6452336 6854749 7417112 9134599 9970544 10198529 12024808 13709498 14834224 16534111 18269198 20397058 24049616 27418996 33068222 36538396 38012699 40794116 54837992 66136444 73076792 76025398 81588232 100480589 109675984 132272888 146153584 152050796 163176464 200961178 264545776 304101592 374518559 401922356 418139689 557210539 608203184 749037118 803844712 836279378 1114421078 1498074236 1607689424 1672558756 2228842156 2996148472 3345117512 4119704149 4457684312 5992296944 6129315929 6690235024 8239408298 8915368624 12258631858 16478816596 22845632099 24517263716 32957633192 45691264198 49034527432 65915266384 91382528396 98069054864 182765056792 251301953089 365530113584 502603906178 1005207812356 2010415624712 4020831249424