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11444387040 = 2532519418289
BaseRepresentation
bin10101010100010001…
…10111110011100000
31002112120122002122200
422222020313303200
5141414230341130
65131340533200
7553413453612
oct125210676340
932476562580
1011444387040
114943070409
122274851200
13110500a568
147a7d0adb2
1546eabe760
hex2aa237ce0

11444387040 has 144 divisors (see below), whose sum is σ = 41109541200. Its totient is φ = 2891206656.

The previous prime is 11444387039. The next prime is 11444387047. The reversal of 11444387040 is 4078344411.

It is a happy number.

11444387040 is a `hidden beast` number, since 114 + 4 + 438 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11444386986 and 11444387004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11444387047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181785 + ... + 236504.

It is an arithmetic number, because the mean of its divisors is an integer number (285482925).

Almost surely, 211444387040 is an apocalyptic number.

11444387040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11444387040 is an abundant number, since it is smaller than the sum of its proper divisors (29665154160).

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

11444387040 is a wasteful number, since it uses less digits than its factorization.

11444387040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418329 (or 418318 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 11444387040 in words is "eleven billion, four hundred forty-four million, three hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 418289 836578 1254867 1673156 2091445 2509734 3346312 3764601 4182890 5019468 6274335 6692624 7529202 7947491 8365780 10038936 12548670 13385248 15058404 15894982 16731560 18823005 20077872 23842473 25097340 30116808 31789964 33463120 37646010 39737455 40155744 47684946 50194680 60233616 63579928 66926240 71527419 75292020 79474910 95369892 100389360 119212365 120467232 127159856 143054838 150584040 158949820 190739784 200778720 238424730 254319712 286109676 301168080 317899640 357637095 381479568 476849460 572219352 602336160 635799280 715274190 762959136 953698920 1144438704 1271598560 1430548380 1907397840 2288877408 2861096760 3814795680 5722193520 11444387040