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11140035000 = 233546771097
BaseRepresentation
bin10100101111111111…
…10111000110111000
31001202100221102010220
422113333313012320
5140303322110000
65041225340040
7543026510103
oct122777670670
931670842126
1011140035000
1147a72941a6
1221aa937620
131086c478b3
1477972373a
154530011a0
hex297ff71b8

11140035000 has 160 divisors (see below), whose sum is σ = 34884645840. Its totient is φ = 2963584000.

The previous prime is 11140034963. The next prime is 11140035007. The reversal of 11140035000 is 53004111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11140035007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10154452 + ... + 10155548.

Almost surely, 211140035000 is an apocalyptic number.

11140035000 is a gapful number since it is divisible by the number (10) 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 11140035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17442322920).

11140035000 is an abundant number, since it is smaller than the sum of its proper divisors (23744610840).

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

11140035000 is a wasteful number, since it uses less digits than its factorization.

11140035000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 11140035000 its reverse (53004111), we get a palindrome (11193039111).

The spelling of 11140035000 in words is "eleven billion, one hundred forty million, thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 677 750 1000 1097 1250 1354 1500 1875 2031 2194 2500 2708 3000 3291 3385 3750 4062 4388 5000 5416 5485 6582 6770 7500 8124 8776 10155 10970 13164 13540 15000 16248 16455 16925 20310 21940 26328 27080 27425 32910 33850 40620 43880 50775 54850 65820 67700 81240 82275 84625 101550 109700 131640 135400 137125 164550 169250 203100 219400 253875 274250 329100 338500 406200 411375 423125 507750 548500 658200 677000 685625 742669 822750 846250 1015500 1097000 1269375 1371250 1485338 1645500 1692500 2031000 2056875 2228007 2538750 2742500 2970676 3291000 3385000 3713345 4113750 4456014 5077500 5485000 5941352 7426690 8227500 8912028 10155000 11140035 14853380 16455000 17824056 18566725 22280070 29706760 37133450 44560140 55700175 74266900 89120280 92833625 111400350 148533800 185667250 222800700 278500875 371334500 445601400 464168125 557001750 742669000 928336250 1114003500 1392504375 1856672500 2228007000 2785008750 3713345000 5570017500 11140035000