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4023304431440 = 245738083188653
BaseRepresentation
bin111010100010111111101…
…000011010011101010000
3112020121212000002110221112
4322202333220122131100
51011404211413301230
612320140332512452
7563450143256660
oct72427750323520
915217760073845
104023304431440
111311301511968
1254b8b061b728
1323251bc77738
14dca2c4361a0
156e9c6da1d95
hex3a8bfa1a750

4023304431440 has 80 divisors (see below), whose sum is σ = 10690832016768. Its totient is φ = 1379375129088.

The previous prime is 4023304431403. The next prime is 4023304431463. The reversal of 4023304431440 is 441344033204.

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

It is a junction number, because it is equal to n+sod(n) for n = 4023304431397 and 4023304431406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21232154 + ... + 21420806.

Almost surely, 24023304431440 is an apocalyptic number.

4023304431440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4023304431440 is an abundant number, since it is smaller than the sum of its proper divisors (6667527585328).

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

4023304431440 is a wasteful number, since it uses less digits than its factorization.

4023304431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226756 (or 226750 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4023304431440 its reverse (441344033204), we get a palindrome (4464648464644).

The spelling of 4023304431440 in words is "four trillion, twenty-three billion, three hundred four million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 38083 76166 152332 188653 190415 266581 304664 377306 380830 533162 609328 754612 761660 943265 1066324 1320571 1332905 1509224 1523320 1886530 2132648 2641142 2665810 3018448 3046640 3773060 4265296 5282284 5331620 6602855 7546120 10564568 10663240 13205710 15092240 21129136 21326480 26411420 52822840 105645680 7184472199 14368944398 28737888796 35922360995 50291305393 57475777592 71844721990 100582610786 114951555184 143689443980 201165221572 251456526965 287378887960 402330443144 502913053930 574757775920 804660886288 1005826107860 2011652215720 4023304431440