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412000230152 = 237172925758067
BaseRepresentation
bin1011111111011010010…
…00001001101100001000
31110101110000010020001102
411333231020021230020
523222234024331102
6513134214440532
741523515113520
oct5775510115410
91411400106042
10412000230152
11149801430985
1267a22063148
132cb0b853844
1415d25c40680
15aab51b2402
hex5fed209b08

412000230152 has 128 divisors (see below), whose sum is σ = 970804051200. Its totient is φ = 159827361792.

The previous prime is 412000230151. The next prime is 412000230163. The reversal of 412000230152 is 251032000214.

It is not an unprimeable number, because it can be changed into a prime (412000230151) 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, 7066223 + ... + 7124289.

It is an arithmetic number, because the mean of its divisors is an integer number (7584406650).

Almost surely, 2412000230152 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 412000230152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485402025600).

412000230152 is an abundant number, since it is smaller than the sum of its proper divisors (558803821048).

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

412000230152 is a wasteful number, since it uses less digits than its factorization.

412000230152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58383 (or 58379 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 412000230152 its reverse (251032000214), we get a palindrome (663032230366).

The spelling of 412000230152 in words is "four hundred twelve billion, two hundred thirty thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 17 28 29 34 56 58 68 116 119 136 203 232 238 257 406 476 493 514 812 952 986 1028 1624 1799 1972 2056 3451 3598 3944 4369 6902 7196 7453 8738 13804 14392 14906 17476 27608 29812 30583 34952 52171 58067 59624 61166 104342 116134 122332 126701 208684 232268 244664 253402 406469 417368 464536 506804 812938 886907 987139 1013608 1625876 1683943 1773814 1974278 3251752 3367886 3547628 3948556 6735772 6909973 7095256 7897112 11787601 13471544 13819946 14923219 23575202 27639892 28627031 29846438 47150404 55279784 57254062 59692876 94300808 104462533 114508124 119385752 200389217 208925066 229016248 253694723 400778434 417850132 432773351 507389446 801556868 835700264 865546702 1014778892 1603113736 1731093404 1775863061 2029557784 3029413457 3462186808 3551726122 6058826914 7103452244 7357146967 12117653828 14206904488 14714293934 24235307656 29428587868 51500028769 58857175736 103000057538 206000115076 412000230152