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11401141800 = 23352171117759
BaseRepresentation
bin10101001111000111…
…11001111000101000
31002102120021000100010
422213203321320220
5141322143014200
65123154011520
7552350051316
oct124743717050
932376230303
1011401141800
114920713644
122262276ba0
1310c9078869
147a22910b6
1546adcb150
hex2a78f9e28

11401141800 has 96 divisors (see below), whose sum is σ = 37422604800. Its totient is φ = 2861460480.

The previous prime is 11401141757. The next prime is 11401141823. The reversal of 11401141800 is 814110411.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548680 + ... + 569079.

It is an arithmetic number, because the mean of its divisors is an integer number (389818800).

Almost surely, 211401141800 is an apocalyptic number.

11401141800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11401141800 is an abundant number, since it is smaller than the sum of its proper divisors (26021463000).

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

11401141800 is a wasteful number, since it uses less digits than its factorization.

11401141800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117795 (or 1117786 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The spelling of 11401141800 in words is "eleven billion, four hundred one million, one hundred forty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 1117759 2235518 3353277 4471036 5588795 6706554 8942072 11177590 13413108 16766385 19001903 22355180 26826216 27943975 33532770 38003806 44710360 55887950 57005709 67065540 76007612 83831925 95009515 111775900 114011418 134131080 152015224 167663850 190019030 223551800 228022836 285028545 335327700 380038060 456045672 475047575 570057090 670655400 760076120 950095150 1140114180 1425142725 1900190300 2280228360 2850285450 3800380600 5700570900 11401141800