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16048240140 = 22353725792803
BaseRepresentation
bin11101111001000110…
…01011011000001100
31112102102121001211110
432330203023120030
5230331322141030
611212241252020
71105455535062
oct167443133014
945372531743
1016048240140
1168958a4389
12313a634010
131689a765aa
14ac352c032
1563dd741b0
hex3bc8cb60c

16048240140 has 96 divisors (see below), whose sum is σ = 46183898880. Its totient is φ = 4160768256.

The previous prime is 16048240129. The next prime is 16048240147. The reversal of 16048240140 is 4104284061.

16048240140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×160482401403 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16048240098 and 16048240107.

It is not an unprimeable number, because it can be changed into a prime (16048240147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5723979 + ... + 5726781.

It is an arithmetic number, because the mean of its divisors is an integer number (481082280).

Almost surely, 216048240140 is an apocalyptic number.

16048240140 is a gapful number since it is divisible by the number (10) 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 16048240140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23091949440).

16048240140 is an abundant number, since it is smaller than the sum of its proper divisors (30135658740).

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

16048240140 is a wasteful number, since it uses less digits than its factorization.

16048240140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 16048240140 in words is "sixteen billion, forty-eight million, two hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 2579 2803 5158 5606 7737 8409 10316 11212 12895 14015 15474 16818 25790 28030 30948 33636 38685 42045 51580 56060 77370 84090 95423 103711 154740 168180 190846 207422 286269 311133 381692 414844 477115 518555 572538 622266 954230 1037110 1145076 1244532 1431345 1555665 1908460 2074220 2862690 3111330 5725380 6222660 7228937 14457874 21686811 28915748 36144685 43373622 72289370 86747244 108434055 144578740 216868110 267470669 433736220 534941338 802412007 1069882676 1337353345 1604824014 2674706690 3209648028 4012060035 5349413380 8024120070 16048240140