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40040240204440 = 2357172494812657
BaseRepresentation
bin10010001101010100110000…
…10010110100101010011000
312020202210212011222012100201
421012222120102310222120
520222004402443020230
6221054122111311544
711301545323121020
oct1106523022645230
9166683764865321
1040040240204440
1111837a74826283
1245a809751b5b4
131945a1733cc18
149c5d5a932a80
154968128505ca
hex246a984b4a98

40040240204440 has 96 divisors (see below), whose sum is σ = 109373389924320. Its totient is φ = 12920548073472.

The previous prime is 40040240204411. The next prime is 40040240204441. The reversal of 40040240204440 is 4440204204004.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 40040240204399 and 40040240204408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40040240204441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247325409 + ... + 247487248.

It is an arithmetic number, because the mean of its divisors is an integer number (1139306145045).

Almost surely, 240040240204440 is an apocalyptic number.

40040240204440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40040240204440 is an abundant number, since it is smaller than the sum of its proper divisors (69333149719880).

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

40040240204440 is a wasteful number, since it uses less digits than its factorization.

40040240204440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494812709 (or 494812688 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 40040240204440 its reverse (4440204204004), we get a palindrome (44480444408444).

The spelling of 40040240204440 in words is "forty trillion, forty billion, two hundred forty million, two hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 289 340 476 578 595 680 952 1156 1190 1445 2023 2312 2380 2890 4046 4760 5780 8092 10115 11560 16184 20230 40460 80920 494812657 989625314 1979250628 2474063285 3463688599 3958501256 4948126570 6927377198 8411815169 9896253140 13854754396 16823630338 17318442995 19792506280 27709508792 33647260676 34636885990 42059075845 58882706183 67294521352 69273771980 84118151690 117765412366 138547543960 143000857873 168236303380 235530824732 286001715746 294413530915 336472606760 471061649464 572003431492 588827061830 715004289365 1001006005111 1144006862984 1177654123660 1430008578730 2002012010222 2355308247320 2860017157460 4004024020444 5005030025555 5720034314920 8008048040888 10010060051110 20020120102220 40040240204440