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412430144 = 2677312611
BaseRepresentation
bin11000100101010…
…010111101000000
31001202001121210112
4120211102331000
51321040231034
6104531450452
713135412150
oct3045227500
91052047715
10412430144
111a1895965
12b6156a28
13675a4309
143cabc760
152631b7ce
hex18952f40

412430144 has 56 divisors (see below), whose sum is σ = 948220608. Its totient is φ = 174320640.

The previous prime is 412430101. The next prime is 412430147. The reversal of 412430144 is 441034214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412430147) 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, 26399 + ... + 39009.

Almost surely, 2412430144 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 412430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474110304).

412430144 is an abundant number, since it is smaller than the sum of its proper divisors (535790464).

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

412430144 is a wasteful number, since it uses less digits than its factorization.

412430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12703 (or 12693 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 412430144 is about 20308.3762029366. The cubic root of 412430144 is about 744.3607530942.

Adding to 412430144 its reverse (441034214), we get a palindrome (853464358).

The spelling of 412430144 in words is "four hundred twelve million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 146 224 292 448 511 584 1022 1168 2044 2336 4088 4672 8176 12611 16352 25222 32704 50444 88277 100888 176554 201776 353108 403552 706216 807104 920603 1412432 1841206 2824864 3682412 5649728 6444221 7364824 12888442 14729648 25776884 29459296 51553768 58918592 103107536 206215072 412430144