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11403410144 = 2572174191021
BaseRepresentation
bin10101001111011001…
…00011101011100000
31002102201112020220212
422213230203223200
5141323233111034
65123314353252
7552405246500
oct124754435340
932381466825
1011403410144
114921a22905
122262b8b828
1310c9691189
147a26c1a00
1546b1c82ce
hex2a7b23ae0

11403410144 has 144 divisors (see below), whose sum is σ = 27745215120. Its totient is φ = 4584222720.

The previous prime is 11403410141. The next prime is 11403410147. The reversal of 11403410144 is 44101430411.

11403410144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11403410141) and next prime (11403410147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11403410141) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11168354 + ... + 11169374.

It is an arithmetic number, because the mean of its divisors is an integer number (192675105).

Almost surely, 211403410144 is an apocalyptic number.

11403410144 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 11403410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13872607560).

11403410144 is an abundant number, since it is smaller than the sum of its proper divisors (16341804976).

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

11403410144 is a wasteful number, since it uses less digits than its factorization.

11403410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 11403410144 its reverse (44101430411), we get a palindrome (55504840555).

The spelling of 11403410144 in words is "eleven billion, four hundred three million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 419 476 544 784 833 838 952 1021 1568 1666 1676 1904 2042 2933 3332 3352 3808 4084 5866 6664 6704 7123 7147 8168 11732 13328 13408 14246 14294 16336 17357 20531 23464 26656 28492 28588 32672 34714 41062 46928 49861 50029 56984 57176 69428 82124 93856 99722 100058 113968 114352 121499 138856 164248 199444 200116 227936 228704 242998 277712 328496 349027 398888 400232 427799 485996 555424 656992 698054 797776 800464 850493 855598 971992 1396108 1595552 1600928 1700986 1711196 1943984 2792216 2994593 3401972 3422392 3887968 5584432 5989186 6803944 6844784 7272583 11168864 11978372 13607888 13689568 14545166 20962151 23956744 27215776 29090332 41924302 47913488 50908081 58180664 83848604 95826976 101816162 116361328 167697208 203632324 232722656 335394416 356356567 407264648 670788832 712713134 814529296 1425426268 1629058592 2850852536 5701705072 11403410144