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11401114176 = 263414832
BaseRepresentation
bin10101001111000111…
…10011001001000000
31002102120012121110000
422213203303021000
5141322141123201
65123153240000
7552346604634
oct124743631100
932376177400
1011401114176
1149206a4911
122262263000
1310c906910a
147a2284dc4
1546adc2d86
hex2a78f3240

11401114176 has 105 divisors (see below), whose sum is σ = 33819278691. Its totient is φ = 3797808768.

The previous prime is 11401114163. The next prime is 11401114199. The reversal of 11401114176 is 67141110411.

The square root of 11401114176 is 106776.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7687131 + ... + 7688613.

Almost surely, 211401114176 is an apocalyptic number.

11401114176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11401114176 is the 106776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11401114176

11401114176 is an abundant number, since it is smaller than the sum of its proper divisors (22418164515).

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

11401114176 is an frugal number, since it uses more digits than its factorization.

11401114176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

Adding to 11401114176 its reverse (67141110411), we get a palindrome (78542224587).

The spelling of 11401114176 in words is "eleven billion, four hundred one million, one hundred fourteen thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1483 1728 2592 2966 4449 5184 5932 8898 11864 13347 17796 23728 26694 35592 40041 47456 53388 71184 80082 94912 106776 120123 142368 160164 213552 240246 284736 320328 427104 480492 640656 854208 960984 1281312 1921968 2199289 2562624 3843936 4398578 6597867 7687872 8797156 13195734 17594312 19793601 26391468 35188624 39587202 52782936 59380803 70377248 79174404 105565872 118761606 140754496 158348808 178142409 211131744 237523212 316697616 356284818 422263488 475046424 633395232 712569636 950092848 1266790464 1425139272 1900185696 2850278544 3800371392 5700557088 11401114176