Search a number
-
+
1430121312 = 25332957077
BaseRepresentation
bin101010100111101…
…1110101101100000
310200200000200122000
41111033132231200
510412102340222
6353524244000
750303554614
oct12517365540
93620020560
101430121312
116742a2344
1233ab40600
1319a396a39
14d7d13344
15858449ac
hex553deb60

1430121312 has 96 divisors (see below), whose sum is σ = 4315096800. Its totient is φ = 460260864.

The previous prime is 1430121293. The next prime is 1430121323. The reversal of 1430121312 is 2131210341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3483 + ... + 53594.

It is an arithmetic number, because the mean of its divisors is an integer number (44948925).

Almost surely, 21430121312 is an apocalyptic number.

1430121312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157548400).

1430121312 is an abundant number, since it is smaller than the sum of its proper divisors (2884975488).

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

1430121312 is a wasteful number, since it uses less digits than its factorization.

1430121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57125 (or 57111 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1430121312 is about 37816.9447734742. The cubic root of 1430121312 is about 1126.6550289209.

Adding to 1430121312 its reverse (2131210341), we get a palindrome (3561331653).

The spelling of 1430121312 in words is "one billion, four hundred thirty million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 6264 8352 12528 25056 57077 114154 171231 228308 342462 456616 513693 684924 913232 1027386 1369848 1541079 1655233 1826464 2054772 2739696 3082158 3310466 4109544 4965699 5479392 6164316 6620932 8219088 9931398 12328632 13241864 14897097 16438176 19862796 24657264 26483728 29794194 39725592 44691291 49314528 52967456 59588388 79451184 89382582 119176776 158902368 178765164 238353552 357530328 476707104 715060656 1430121312