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1230132444 = 22317131191241
BaseRepresentation
bin100100101010010…
…0101010011011100
310011201201012110220
41021110211103130
510004403214234
6322022001340
742324644652
oct11124452334
93151635426
101230132444
11581417792
122a3b76250
13167b14828
14b9534dd2
1572edda49
hex495254dc

1230132444 has 96 divisors (see below), whose sum is σ = 3091156992. Its totient is φ = 379392000.

The previous prime is 1230132443. The next prime is 1230132479. The reversal of 1230132444 is 4442310321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230132443) 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, 5104164 + ... + 5104404.

It is an arithmetic number, because the mean of its divisors is an integer number (32199552).

Almost surely, 21230132444 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 1230132444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545578496).

1230132444 is an abundant number, since it is smaller than the sum of its proper divisors (1861024548).

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

1230132444 is a wasteful number, since it uses less digits than its factorization.

1230132444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1230132444 is about 35073.2439902556. The cubic root of 1230132444 is about 1071.4797252123.

Adding to 1230132444 its reverse (4442310321), we get a palindrome (5672442765).

The spelling of 1230132444 in words is "one billion, two hundred thirty million, one hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 131 191 204 241 262 382 393 482 524 573 723 764 786 964 1146 1446 1572 2227 2292 2892 3247 4097 4454 6494 6681 8194 8908 9741 12291 12988 13362 16388 19482 24582 25021 26724 31571 38964 46031 49164 50042 63142 75063 92062 94713 100084 126284 138093 150126 184124 189426 276186 300252 378852 425357 536707 552372 782527 850714 1073414 1276071 1565054 1610121 1701428 2146828 2347581 2552142 3130108 3220242 4695162 5104284 6030061 6440484 9390324 12060122 18090183 24120244 36180366 72360732 102511037 205022074 307533111 410044148 615066222 1230132444