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2410424220424 = 23113723331310151
BaseRepresentation
bin100011000100111000011…
…110101011101100001000
322112102201121102111002211
4203010320132223230020
5303443022100023144
65043200020234504
7336101362550203
oct43047036535410
98472647374084
102410424220424
1184a2896a6290
1232b1a623ba34
131463c073187c
148494528293a
1542a79b2e034
hex231387abb08

2410424220424 has 128 divisors (see below), whose sum is σ = 5102149927680. Its totient is φ = 1057964544000.

The previous prime is 2410424220349. The next prime is 2410424220427. The reversal of 2410424220424 is 4240224240142.

It is not an unprimeable number, because it can be changed into a prime (2410424220427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237451749 + ... + 237461899.

It is an arithmetic number, because the mean of its divisors is an integer number (39860546310).

Almost surely, 22410424220424 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 2410424220424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551074963840).

2410424220424 is an abundant number, since it is smaller than the sum of its proper divisors (2691725707256).

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

2410424220424 is a wasteful number, since it uses less digits than its factorization.

2410424220424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10751 (or 10747 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 31.

Adding to 2410424220424 its reverse (4240224240142), we get a palindrome (6650648460566).

The spelling of 2410424220424 in words is "two trillion, four hundred ten billion, four hundred twenty-four million, two hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 233 296 313 407 466 626 814 932 1252 1628 1864 2504 2563 3256 3443 5126 6886 8621 10151 10252 11581 13772 17242 20302 20504 23162 27544 34484 40604 46324 68968 72929 81208 92648 94831 111661 127391 145858 189662 223322 254782 291716 375587 379324 446644 509564 583432 751174 758648 802219 893288 1019128 1502348 1604438 2365183 2698373 3004696 3177263 3208876 4131457 4730366 5396746 6354526 6417752 8262914 9460732 10793492 12709052 16525828 18921464 21586984 25418104 26017013 29682103 33051656 34949893 52034026 59364206 69899786 87511771 104068052 117558731 118728412 139799572 175023542 208136104 235117462 237456824 279599144 350047084 470234924 700094168 740302279 940469848 962629481 1293146041 1480604558 1925258962 2586292082 2961209116 3850517924 5172584164 5922418232 7701035848 8143325069 10345168328 16286650138 27391184323 32573300276 54782368646 65146600552 109564737292 219129474584 301303027553 602606055106 1205212110212 2410424220424