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40004402402440 = 23572171200612317
BaseRepresentation
bin10010001100010010000000…
…01100011101010010001000
312020122101100120211020010201
421012021000030131102020
520220413004003334230
6221025434015021544
711266136245616200
oct1106110014352210
9166571316736121
1040004402402440
11118238542751a3
1245a115550a8b4
13194252568c118
149c431b05b400
1549591647c5ca
hex24624031d488

40004402402440 has 96 divisors (see below), whose sum is σ = 110864541444120. Its totient is φ = 12908983621632.

The previous prime is 40004402402429. The next prime is 40004402402467. The reversal of 40004402402440 is 4420420440004.

It can be written as a sum of positive squares in 4 ways, for example, as 31705750977796 + 8298651424644 = 5630786^2 + 2880738^2 .

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 = 40004402402399 and 40004402402408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600272839 + ... + 600339478.

Almost surely, 240004402402440 is an apocalyptic number.

40004402402440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40004402402440 is an abundant number, since it is smaller than the sum of its proper divisors (70860139041680).

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

40004402402440 is a wasteful number, since it uses less digits than its factorization.

40004402402440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200612359 (or 1200612348 counting only the distinct ones).

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

Adding to 40004402402440 its reverse (4420420440004), we get a palindrome (44424822842444).

The spelling of 40004402402440 in words is "forty trillion, four billion, four hundred two million, four hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 392 476 490 595 680 833 952 980 1190 1666 1960 2380 3332 4165 4760 6664 8330 16660 33320 1200612317 2401224634 4802449268 6003061585 8404286219 9604898536 12006123170 16808572438 20410409389 24012246340 33617144876 40820818778 42021431095 48024492680 58830003533 67234289752 81641637556 84042862190 102052046945 117660007066 142872865723 163283275112 168085724380 204104093890 235320014132 285745731446 294150017665 336171448760 408208187780 470640028264 571491462892 588300035330 714364328615 816416375560 1000110060061 1142982925784 1176600070660 1428728657230 2000220120122 2353200141320 2857457314460 4000440240244 5000550300305 5714914628920 8000880480488 10001100600610 20002201201220 40004402402440