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10004230144 = 212231031031
BaseRepresentation
bin10010101000100110…
…00111000000000000
3221211012201112210101
421110103013000000
5130442040331034
64332413212144
7502625360506
oct112423070000
927735645711
1010004230144
1142741441a7
121b32491054
13c3583ba0c
146ac944676
153d8446514
hex2544c7000

10004230144 has 104 divisors (see below), whose sum is σ = 21098967552. Its totient is φ = 4733583360.

The previous prime is 10004230141. The next prime is 10004230147. The reversal of 10004230144 is 44103240001.

It is an interprime number because it is at equal distance from previous prime (10004230141) and next prime (10004230147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004230141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9702909 + ... + 9703939.

It is an arithmetic number, because the mean of its divisors is an integer number (202874688).

Almost surely, 210004230144 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 10004230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10549483776).

10004230144 is an abundant number, since it is smaller than the sum of its proper divisors (11094737408).

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

10004230144 is a wasteful number, since it uses less digits than its factorization.

10004230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10004230144 its reverse (44103240001), we get a palindrome (54107470145).

The spelling of 10004230144 in words is "ten billion, four million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 103 128 184 206 256 368 412 512 736 824 1024 1031 1472 1648 2048 2062 2369 2944 3296 4096 4124 4738 5888 6592 8248 9476 11776 13184 16496 18952 23552 23713 26368 32992 37904 47104 47426 52736 65984 75808 94208 94852 105472 106193 131968 151616 189704 210944 212386 263936 303232 379408 421888 424772 527872 606464 758816 849544 1055744 1212928 1517632 1699088 2111488 2425856 2442439 3035264 3398176 4222976 4851712 4884878 6070528 6796352 9703424 9769756 12141056 13592704 19539512 24282112 27185408 39079024 48564224 54370816 78158048 97128448 108741632 156316096 217483264 312632192 434966528 625264384 1250528768 2501057536 5002115072 10004230144