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12141395344 = 241341632
BaseRepresentation
bin10110100111010111…
…01111110110010000
31011100011011210022001
423103223233312100
5144331144122334
65324440123344
7606606105031
oct132353576620
934304153261
1012141395344
115170557031
12242a166554
1311b6540000
14832706a88
154b0da0714
hex2d3aefd90

12141395344 has 75 divisors (see below), whose sum is σ = 25641518343. Its totient is φ = 5569342272.

The previous prime is 12141395323. The next prime is 12141395347. The reversal of 12141395344 is 44359314121.

The square root of 12141395344 is 110188.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 6019897744 + 6121497600 = 77588^2 + 78240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12141395347) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 74487007 + ... + 74487169.

Almost surely, 212141395344 is an apocalyptic number.

12141395344 is the 110188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12141395344

12141395344 is an abundant number, since it is smaller than the sum of its proper divisors (13500122999).

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

12141395344 is an frugal number, since it uses more digits than its factorization.

12141395344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 178 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The spelling of 12141395344 in words is "twelve billion, one hundred forty-one million, three hundred ninety-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 163 169 208 326 338 652 676 1304 1352 2119 2197 2608 2704 4238 4394 8476 8788 16952 17576 26569 27547 28561 33904 35152 53138 55094 57122 106276 110188 114244 212552 220376 228488 345397 358111 425104 440752 456976 690794 716222 1381588 1432444 2763176 2864888 4490161 4655443 5526352 5729776 8980322 9310886 17960644 18621772 35921288 37243544 58372093 71842576 74487088 116744186 233488372 466976744 758837209 933953488 1517674418 3035348836 6070697672 12141395344