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2740146444 = 2232723741983
BaseRepresentation
bin1010001101010011…
…0101000100001100
321001222001212021100
42203110311010030
521102434141234
61131522503100
7124621601100
oct24324650414
97058055240
102740146444
111186817642
12645804a90
13348901b39
141bdcc3900
15110865399
hexa353510c

2740146444 has 108 divisors (see below), whose sum is σ = 8275298304. Its totient is φ = 761721408.

The previous prime is 2740146443. The next prime is 2740146473. The reversal of 2740146444 is 4446410472.

2740146444 is a `hidden beast` number, since 2 + 7 + 4 + 0 + 1 + 4 + 644 + 4 = 666.

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 = 2740146399 and 2740146408.

It is not an unprimeable number, because it can be changed into a prime (2740146443) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 44277 + ... + 86259.

Almost surely, 22740146444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2740146444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137649152).

2740146444 is an abundant number, since it is smaller than the sum of its proper divisors (5535151860).

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

2740146444 is a wasteful number, since it uses less digits than its factorization.

2740146444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42044 (or 42032 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 2740146444 is about 52346.4081289251. The cubic root of 2740146444 is about 1399.3443263041.

The spelling of 2740146444 in words is "two billion, seven hundred forty million, one hundred forty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 49 63 74 84 98 111 126 147 148 196 222 252 259 294 333 441 444 518 588 666 777 882 1036 1332 1554 1764 1813 2331 3108 3626 4662 5439 7252 9324 10878 16317 21756 32634 41983 65268 83966 125949 167932 251898 293881 377847 503796 587762 755694 881643 1175524 1511388 1553371 1763286 2057167 2644929 3106742 3526572 4114334 4660113 5289858 6171501 6213484 8228668 9320226 10579716 10873597 12343002 13980339 18514503 18640452 21747194 24686004 27960678 32620791 37029006 43494388 55921356 65241582 74058012 76115179 97862373 130483164 152230358 195724746 228345537 304460716 391449492 456691074 685036611 913382148 1370073222 2740146444