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4402000404240 = 243531591666721
BaseRepresentation
bin100000000001110101110…
…1010111001111100010000
3120120211022222101010122220
41000003223222321330100
51034110244100413430
613210130121501040
7633014450031345
oct100035352717420
916524288333586
104402000404240
11144797251730a
125b1179041780
1325c1509c310a
141130b50647cc
157978d2e6110
hex400ebab9f10

4402000404240 has 80 divisors (see below), whose sum is σ = 14086401317376. Its totient is φ = 1136000102400.

The previous prime is 4402000404239. The next prime is 4402000404247. The reversal of 4402000404240 is 424040002044.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4402000404240.

It is not an unprimeable number, because it can be changed into a prime (4402000404247) 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 15 ways as a sum of consecutive naturals, for example, 295825921 + ... + 295840800.

Almost surely, 24402000404240 is an apocalyptic number.

4402000404240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4402000404240 is an abundant number, since it is smaller than the sum of its proper divisors (9684400913136).

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

4402000404240 is a wasteful number, since it uses less digits than its factorization.

4402000404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591666768 (or 591666762 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 4402000404240 its reverse (424040002044), we get a palindrome (4826040406284).

The spelling of 4402000404240 in words is "four trillion, four hundred two billion, four hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 591666721 1183333442 1775000163 2366666884 2958333605 3550000326 4733333768 5916667210 7100000652 8875000815 9466667536 11833334420 14200001304 17750001630 18341668351 23666668840 28400002608 35500003260 36683336702 47333337680 55025005053 71000006520 73366673404 91708341755 110050010106 142000013040 146733346808 183416683510 220100020212 275125025265 293466693616 366833367020 440200040424 550250050530 733666734040 880400080848 1100500101060 1467333468080 2201000202120 4402000404240