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4150041120 = 253255948847
BaseRepresentation
bin1111011101011100…
…1001101000100000
3101201020000221011200
43313113021220200
531444402303440
61523445441200
7204561524151
oct36727115040
911636027150
104150041120
11183a654355
12979a10200
13511a36244
142b524d928
15194511c30
hexf75c9a20

4150041120 has 144 divisors (see below), whose sum is σ = 14402344320. Its totient is φ = 1087898112.

The previous prime is 4150041107. The next prime is 4150041169. The reversal of 4150041120 is 211400514.

4150041120 is a `hidden beast` number, since 4 + 1 + 500 + 41 + 120 = 666.

4150041120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 4150041093 and 4150041102.

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, 60537 + ... + 109383.

It is an arithmetic number, because the mean of its divisors is an integer number (100016280).

Almost surely, 24150041120 is an apocalyptic number.

4150041120 is a gapful number since it is divisible by the number (40) 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 4150041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7201172160).

4150041120 is an abundant number, since it is smaller than the sum of its proper divisors (10252303200).

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

4150041120 is a wasteful number, since it uses less digits than its factorization.

4150041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48927 (or 48916 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 4150041120 is about 64420.8127859312. The cubic root of 4150041120 is about 1607.0058828955.

Adding to 4150041120 its reverse (211400514), we get a palindrome (4361441634).

The spelling of 4150041120 in words is "four billion, one hundred fifty million, forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 59 60 72 80 90 96 118 120 144 160 177 180 236 240 288 295 354 360 472 480 531 590 708 720 885 944 1062 1180 1416 1440 1770 1888 2124 2360 2655 2832 3540 4248 4720 5310 5664 7080 8496 9440 10620 14160 16992 21240 28320 42480 48847 84960 97694 146541 195388 244235 293082 390776 439623 488470 586164 732705 781552 879246 976940 1172328 1465410 1563104 1758492 1953880 2198115 2344656 2881973 2930820 3516984 3907760 4396230 4689312 5763946 5861640 7033968 7815520 8645919 8792460 11527892 11723280 14067936 14409865 17291838 17584920 23055784 23446560 25937757 28819730 34583676 35169840 43229595 46111568 51875514 57639460 69167352 70339680 86459190 92223136 103751028 115278920 129688785 138334704 172918380 207502056 230557840 259377570 276669408 345836760 415004112 461115680 518755140 691673520 830008224 1037510280 1383347040 2075020560 4150041120