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40378007144 = 2323223340949
BaseRepresentation
bin100101100110101101…
…110111111001101000
310212020000100021211002
4211212231313321220
51130143232212034
630314400454132
72626414253306
oct454655677150
9125200307732
1040378007144
1116140372442
1279aa61a348
133a66493627
141d50889276
1510b4ca3e7e
hex966b77e68

40378007144 has 48 divisors (see below), whose sum is σ = 79485178500. Its totient is φ = 19227870464.

The previous prime is 40378007119. The next prime is 40378007179. The reversal of 40378007144 is 44170087304.

It can be written as a sum of positive squares in 2 ways, for example, as 39033904900 + 1344102244 = 197570^2 + 36662^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40378007098 and 40378007107.

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, 965582 + ... + 1006530.

Almost surely, 240378007144 is an apocalyptic number.

It is an amenable number.

40378007144 is a deficient number, since it is larger than the sum of its proper divisors (39107171356).

40378007144 is a wasteful number, since it uses less digits than its factorization.

40378007144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41234 (or 41207 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The spelling of 40378007144 in words is "forty billion, three hundred seventy-eight million, seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 23 46 92 184 233 466 529 932 1058 1864 2116 4232 5359 10718 21436 40949 42872 81898 123257 163796 246514 327592 493028 941827 986056 1883654 3767308 7534616 9541117 19082234 21662021 38164468 43324042 76328936 86648084 173296168 219445691 438891382 877782764 1755565528 5047250893 10094501786 20189003572 40378007144