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4240020200424 = 2333783101569581
BaseRepresentation
bin111101101100110100111…
…001011101101111101000
3120000100020022001012200220
4331230310321131233220
51023432030132403144
613003501031530040
7615221440023231
oct75546471355750
916010208035626
104240020200424
111395200958778
125858b2229920
13249aa8420878
1410930a56a088
157545caa6919
hex3db34e5dbe8

4240020200424 has 128 divisors (see below), whose sum is σ = 11126807153280. Its totient is φ = 1345120128000.

The previous prime is 4240020200407. The next prime is 4240020200443.

4240020200424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4240020200394 and 4240020200403.

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, 7159314 + ... + 7728894.

It is an arithmetic number, because the mean of its divisors is an integer number (86928180885).

Almost surely, 24240020200424 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 4240020200424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5563403576640).

4240020200424 is an abundant number, since it is smaller than the sum of its proper divisors (6886786952856).

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

4240020200424 is a wasteful number, since it uses less digits than its factorization.

4240020200424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569811 (or 569807 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 4240020 and 200424, that added together give a palindrome (4440444).

The spelling of 4240020200424 in words is "four trillion, two hundred forty billion, twenty million, two hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 83 101 111 148 166 202 222 249 296 303 332 404 444 498 606 664 808 888 996 1212 1992 2424 3071 3737 6142 7474 8383 9213 11211 12284 14948 16766 18426 22422 24568 25149 29896 33532 36852 44844 50298 67064 73704 89688 100596 201192 310171 569581 620342 930513 1139162 1240684 1708743 1861026 2278324 2481368 3417486 3722052 4556648 6834972 7444104 13669944 21074497 42148994 47275223 57527681 63223491 84297988 94550446 115055362 126446982 141825669 168595976 172583043 189100892 230110724 252893964 283651338 345166086 378201784 460221448 505787928 567302676 690332172 1134605352 1380664344 1749183251 2128524197 3498366502 4257048394 4774797523 5247549753 6385572591 6996733004 8514096788 9549595046 10495099506 12771145182 13993466008 14324392569 17028193576 19099190092 20990199012 25542290364 28648785138 38198380184 41980398024 51084580728 57297570276 114595140552 176667508351 353335016702 530002525053 706670033404 1060005050106 1413340066808 2120010100212 4240020200424