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1445114104 = 2371723312129
BaseRepresentation
bin101011000100010…
…1011000011111000
310201201020101212121
41112020223003320
510424422122404
6355221451024
750545160440
oct12610530370
93651211777
101445114104
11681802685
12343b70a74
131a0516005
14d9cd7120
1586d06e54
hex5622b0f8

1445114104 has 128 divisors (see below), whose sum is σ = 3533414400. Its totient is φ = 539320320.

The previous prime is 1445114101. The next prime is 1445114107. The reversal of 1445114104 is 4014115441.

It is an interprime number because it is at equal distance from previous prime (1445114101) and next prime (1445114107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445114101) 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, 677712 + ... + 679840.

It is an arithmetic number, because the mean of its divisors is an integer number (27604800).

Almost surely, 21445114104 is an apocalyptic number.

1445114104 is a gapful number since it is divisible by the number (14) 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 1445114104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766707200).

1445114104 is an abundant number, since it is smaller than the sum of its proper divisors (2088300296).

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

1445114104 is a wasteful number, since it uses less digits than its factorization.

1445114104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 1445114104 is about 38014.6564366956. The cubic root of 1445114104 is about 1130.5784763605.

Adding to 1445114104 its reverse (4014115441), we get a palindrome (5459229545).

The spelling of 1445114104 in words is "one billion, four hundred forty-five million, one hundred fourteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 23 28 31 34 46 56 62 68 92 119 124 136 161 184 217 238 248 322 391 434 476 527 644 713 782 868 952 1054 1288 1426 1564 1736 2108 2129 2737 2852 3128 3689 4216 4258 4991 5474 5704 7378 8516 9982 10948 12121 14756 14903 17032 19964 21896 24242 29512 29806 36193 39928 48484 48967 59612 65999 72386 84847 96968 97934 119224 131998 144772 169694 195868 253351 263996 289544 339388 342769 391736 461993 506702 527992 678776 685538 832439 923986 1013404 1121983 1371076 1517977 1664878 1847972 2026808 2243966 2742152 3035954 3329756 3695944 4487932 5827073 6071908 6659512 7853881 8975864 10625839 11654146 12143816 15707762 21251678 23308292 25805609 31415524 42503356 46616584 51611218 62831048 85006712 103222436 180639263 206444872 361278526 722557052 1445114104