Search a number
-
+
41155201440 = 253359526667
BaseRepresentation
bin100110010101000010…
…101000100110100000
310221020011202211222000
4212111002220212200
51133241212421230
630523442444000
72654602304013
oct462502504640
9127204684860
1041155201440
11164aa046a81
127b86963600
133b5b4c0002
141dc5b9937a
15110d123b60
hex9950a89a0

41155201440 has 96 divisors (see below), whose sum is σ = 144043220160. Its totient is φ = 10974719232.

The previous prime is 41155201411. The next prime is 41155201531. The reversal of 41155201440 is 4410255114.

41155201440 is a `hidden beast` number, since 4 + 1 + 15 + 5 + 201 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4759014 + ... + 4767653.

It is an arithmetic number, because the mean of its divisors is an integer number (1500450210).

Almost surely, 241155201440 is an apocalyptic number.

41155201440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41155201440 is an abundant number, since it is smaller than the sum of its proper divisors (102888018720).

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

41155201440 is a wasteful number, since it uses less digits than its factorization.

41155201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9526691 (or 9526677 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 41155201440 its reverse (4410255114), we get a palindrome (45565456554).

The spelling of 41155201440 in words is "forty-one billion, one hundred fifty-five million, two hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 9526667 19053334 28580001 38106668 47633335 57160002 76213336 85740003 95266670 114320004 142900005 152426672 171480006 190533340 228640008 257220009 285800010 304853344 342960012 381066680 428700015 457280016 514440018 571600020 685920024 762133360 857400030 914560032 1028880036 1143200040 1286100045 1371840048 1524266720 1714800060 2057760072 2286400080 2572200090 2743680096 3429600120 4115520144 4572800160 5144400180 6859200240 8231040288 10288800360 13718400480 20577600720 41155201440