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8440684416 = 273217430999
BaseRepresentation
bin1111101110001101…
…01001111110000000
3210210020122012021100
413313012221332000
5114241303400131
63513321054400
7416111430243
oct76706517600
923706565240
108440684416
11364160114a
121776927400
13a4692a928
145a101d25a
153460487e6
hex1f71a9f80

8440684416 has 96 divisors (see below), whose sum is σ = 25717770000. Its totient is φ = 2648051712.

The previous prime is 8440684381. The next prime is 8440684471. The reversal of 8440684416 is 6144860448.

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

It is a super-2 number, since 2×84406844162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195916 + ... + 235083.

Almost surely, 28440684416 is an apocalyptic number.

It is an amenable number.

8440684416 is an abundant number, since it is smaller than the sum of its proper divisors (17277085584).

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

8440684416 is a wasteful number, since it uses less digits than its factorization.

8440684416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431036 (or 431021 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 8440684416 is about 91873.1974843588. The cubic root of 8440684416 is about 2036.0692938591.

The spelling of 8440684416 in words is "eight billion, four hundred forty million, six hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 430999 861998 1292997 1723996 2585994 3447992 3878991 5171988 6895984 7326983 7757982 10343976 13791968 14653966 15515964 20687952 21980949 27583936 29307932 31031928 41375904 43961898 55167872 58615864 62063856 65942847 82751808 87923796 117231728 124127712 131885694 165503616 175847592 234463456 248255424 263771388 351695184 468926912 496510848 527542776 703390368 937853824 1055085552 1406780736 2110171104 2813561472 4220342208 8440684416