Search a number
-
+
119244134016 = 273374929073
BaseRepresentation
bin110111100001110000…
…0010001011010000000
3102101210022212122022000
41233003200101122000
53423202444242031
6130440251344000
711420660262330
oct1570340213200
9371708778260
10119244134016
1146631228897
121b13a752000
13b3247178a7
145ab2bc90c0
15317d94a3e6
hex1bc3811680

119244134016 has 128 divisors (see below), whose sum is σ = 402212438400. Its totient is φ = 34069745664.

The previous prime is 119244134011. The next prime is 119244134027. The reversal of 119244134016 is 610431442911.

119244134016 is a `hidden beast` number, since 1 + 1 + 9 + 244 + 1 + 3 + 401 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (119244134011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2440345 + ... + 2488728.

It is an arithmetic number, because the mean of its divisors is an integer number (3142284675).

Almost surely, 2119244134016 is an apocalyptic number.

119244134016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

119244134016 is an abundant number, since it is smaller than the sum of its proper divisors (282968304384).

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

119244134016 is an equidigital number, since it uses as much as digits as its factorization.

119244134016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4929103 (or 4929085 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 119244134016 its reverse (610431442911), we get a palindrome (729675576927).

The spelling of 119244134016 in words is "one hundred nineteen billion, two hundred forty-four million, one hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 4929073 9858146 14787219 19716292 29574438 34503511 39432584 44361657 59148876 69007022 78865168 88723314 103510533 118297752 133084971 138014044 157730336 177446628 207021066 236595504 266169942 276028088 310531599 315460672 354893256 414042132 473191008 532339884 552056176 621063198 630921344 709786512 828084264 931594797 946382016 1064679768 1104112352 1242126396 1419573024 1656168528 1863189594 1892764032 2129359536 2208224704 2484252792 2839146048 3312337056 3726379188 4258719072 4416449408 4968505584 5678292096 6624674112 7452758376 8517438144 9937011168 13249348224 14905516752 17034876288 19874022336 29811033504 39748044672 59622067008 119244134016