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74140841148 = 2231115119319273
BaseRepresentation
bin100010100001100100…
…0110111010010111100
321002101000001222001120
41011003020313102330
52203320023404043
654020531310540
75233164515553
oct1050310672274
9232330058046
1074140841148
1129496632340
121245174b450
136cb72ac20a
14383494cd9a
151ddde06983
hex11432374bc

74140841148 has 96 divisors (see below), whose sum is σ = 190966175232. Its totient is φ = 22201344000.

The previous prime is 74140841143. The next prime is 74140841171. The reversal of 74140841148 is 84114804147.

It is a super-2 number, since 2×741408411482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74140841143) 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, 3837240 + ... + 3856512.

It is an arithmetic number, because the mean of its divisors is an integer number (1989230992).

Almost surely, 274140841148 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 74140841148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95483087616).

74140841148 is an abundant number, since it is smaller than the sum of its proper divisors (116825334084).

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

74140841148 is a wasteful number, since it uses less digits than its factorization.

74140841148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19635 (or 19633 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The spelling of 74140841148 in words is "seventy-four billion, one hundred forty million, eight hundred forty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 151 193 302 386 453 579 604 772 906 1158 1661 1812 2123 2316 3322 4246 4983 6369 6644 8492 9966 12738 19273 19932 25476 29143 38546 57819 58286 77092 87429 115638 116572 174858 212003 231276 320573 349716 424006 636009 641146 848012 961719 1272018 1282292 1923438 2544036 2910223 3719689 3846876 5820446 7439378 8730669 11159067 11640892 14878756 17461338 22318134 32012453 34922676 40916579 44636268 64024906 81833158 96037359 122749737 128049812 163666316 192074718 245499474 384149436 490998948 561673039 1123346078 1685019117 2246692156 3370038234 6178403429 6740076468 12356806858 18535210287 24713613716 37070420574 74140841148