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11401301430 = 2325172974519
BaseRepresentation
bin10101001111001001…
…00000110110110110
31002102120120010022100
422213210200312312
5141322213121210
65123201242530
7552351314601
oct124744406666
932376503270
1011401301430
114920812572
122262333446
1310c910340c
147a22d3338
1546ae0d5c0
hex2a7920db6

11401301430 has 144 divisors (see below), whose sum is σ = 31821360480. Its totient is φ = 2831376384.

The previous prime is 11401301419. The next prime is 11401301437. The reversal of 11401301430 is 3410310411.

11401301430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11401301437) 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 71 ways as a sum of consecutive naturals, for example, 2520711 + ... + 2525229.

It is an arithmetic number, because the mean of its divisors is an integer number (220981670).

Almost surely, 211401301430 is an apocalyptic number.

11401301430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11401301430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15910680240).

11401301430 is an abundant number, since it is smaller than the sum of its proper divisors (20420059050).

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

11401301430 is a wasteful number, since it uses less digits than its factorization.

11401301430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11401301430 its reverse (3410310411), we get a palindrome (14811611841).

The spelling of 11401301430 in words is "eleven billion, four hundred one million, three hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 97 102 153 170 194 255 289 291 306 485 510 578 582 765 867 873 970 1445 1455 1530 1649 1734 1746 2601 2890 2910 3298 4335 4365 4519 4947 5202 8245 8670 8730 9038 9894 13005 13557 14841 16490 22595 24735 26010 27114 28033 29682 40671 45190 49470 56066 67785 74205 76823 81342 84099 135570 140165 148410 153646 168198 203355 230469 252297 280330 384115 406710 420495 438343 460938 504594 691407 768230 840990 876686 1152345 1261485 1305991 1315029 1382814 2191715 2304690 2522970 2611982 2630058 3457035 3917973 3945087 4383430 6529955 6575145 6914070 7451831 7835946 7890174 11753919 13059910 13150290 14903662 19589865 19725435 22355493 23507838 37259155 39179730 39450870 44710986 58769595 67066479 74518310 111777465 117539190 126681127 134132958 223554930 253362254 335332395 380043381 633405635 670664790 760086762 1140130143 1266811270 1900216905 2280260286 3800433810 5700650715 11401301430