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10041422424 = 233111013591049
BaseRepresentation
bin10010101101000001…
…11111001001011000
3221220210201010000020
421112200333021120
5131031101004144
64340222310440
7503556453015
oct112640771130
927823633006
1010041422424
114293137320
121b42a28420
13c40461597
146b386670c
153db841419
hex25683f258

10041422424 has 128 divisors (see below), whose sum is σ = 27760320000. Its totient is φ = 3001472000.

The previous prime is 10041422399. The next prime is 10041422429. The reversal of 10041422424 is 42422414001.

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 = 10041422394 and 10041422403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041422429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9571852 + ... + 9572900.

It is an arithmetic number, because the mean of its divisors is an integer number (216877500).

Almost surely, 210041422424 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 10041422424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880160000).

10041422424 is an abundant number, since it is smaller than the sum of its proper divisors (17718897576).

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

10041422424 is a wasteful number, since it uses less digits than its factorization.

10041422424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10041422424 its reverse (42422414001), we get a palindrome (52463836425).

The spelling of 10041422424 in words is "ten billion, forty-one million, four hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 359 404 606 718 808 1049 1077 1111 1212 1436 2098 2154 2222 2424 2872 3147 3333 3949 4196 4308 4444 6294 6666 7898 8392 8616 8888 11539 11847 12588 13332 15796 23078 23694 25176 26664 31592 34617 36259 46156 47388 69234 72518 92312 94776 105949 108777 138468 145036 211898 217554 276936 290072 317847 376591 398849 423796 435108 635694 753182 797698 847592 870216 1129773 1165439 1196547 1271388 1506364 1595396 2259546 2330878 2393094 2542776 3012728 3190792 3496317 4142501 4519092 4661756 4786188 6992634 8285002 9038184 9323512 9572376 12427503 13985268 16570004 24855006 27970536 33140008 38035691 49710012 76071382 99420024 114107073 152142764 228214146 304285528 418392601 456428292 836785202 912856584 1255177803 1673570404 2510355606 3347140808 5020711212 10041422424