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11401080075 = 355271124373
BaseRepresentation
bin10101001111000111…
…01010110100001011
31002102120010212200000
422213203222310023
5141322134030300
65123152414043
7552346403340
oct124743526413
932376125600
1011401080075
114920681230
122262247323
1310c9056738
147a22767c7
1546adb7c00
hex2a78ead0b

11401080075 has 144 divisors (see below), whose sum is σ = 26403476736. Its totient is φ = 4737916800.

The previous prime is 11401080049. The next prime is 11401080079. The reversal of 11401080075 is 57008010411.

It is not a de Polignac number, because 11401080075 - 211 = 11401078027 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (11401080079) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 455589 + ... + 479961.

Almost surely, 211401080075 is an apocalyptic number.

11401080075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11401080075 is an abundant number, since it is smaller than the sum of its proper divisors (15002396661).

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

11401080075 is a wasteful number, since it uses less digits than its factorization.

11401080075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24416 (or 24399 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

Adding to 11401080075 its reverse (57008010411), we get a palindrome (68409090486).

The spelling of 11401080075 in words is "eleven billion, four hundred one million, eighty thousand, seventy-five".

Divisors: 1 3 5 7 9 11 15 21 25 27 33 35 45 55 63 75 77 81 99 105 135 165 175 189 225 231 243 275 297 315 385 405 495 525 567 675 693 825 891 945 1155 1215 1485 1575 1701 1925 2025 2079 2475 2673 2835 3465 4455 4725 5775 6075 6237 7425 8505 10395 13365 14175 17325 18711 22275 24373 31185 42525 51975 66825 73119 93555 121865 155925 170611 219357 268103 365595 467775 511833 609325 658071 804309 853055 1096785 1340515 1535499 1827975 1876721 1974213 2412927 2559165 3290355 4021545 4265275 4606497 5483925 5630163 5922639 6702575 7238781 7677495 9383605 9871065 12064635 12795825 13819491 16451775 16890489 20107725 21716343 23032485 28150815 29613195 36193905 38387475 41458473 46918025 49355325 50671467 60323175 65149029 69097455 84452445 108581715 115162425 140754075 148065975 152014401 180969525 207292365 253357335 325745145 345487275 422262225 456043203 542908575 760072005 1036461825 1266786675 1628725725 2280216015 3800360025 11401080075