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4023304002440 = 23517239122920143
BaseRepresentation
bin111010100010111111100…
…110110001101110001000
3112020121211222021200110122
4322202333212301232020
51011404211311034230
612320140315402412
7563450136522152
oct72427746615610
915217758250418
104023304002440
111311301249618
1254b8b0453408
1323251bb573a8
14dca2c363ad2
156e9c6d19be5
hex3a8bf9b1b88

4023304002440 has 128 divisors (see below), whose sum is σ = 9633344256000. Its totient is φ = 1507016060928.

The previous prime is 4023304002397. The next prime is 4023304002463. The reversal of 4023304002440 is 442004033204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199727009 + ... + 199747151.

It is an arithmetic number, because the mean of its divisors is an integer number (75260502000).

Almost surely, 24023304002440 is an apocalyptic number.

4023304002440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023304002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816672128000).

4023304002440 is an abundant number, since it is smaller than the sum of its proper divisors (5610040253560).

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

4023304002440 is a wasteful number, since it uses less digits than its factorization.

4023304002440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21639 (or 21635 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 4023304002440 its reverse (442004033204), we get a palindrome (4465308035644).

The spelling of 4023304002440 in words is "four trillion, twenty-three billion, three hundred four million, two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 239 340 478 680 956 1195 1229 1912 2390 2458 4063 4780 4916 6145 8126 9560 9832 12290 16252 20143 20315 20893 24580 32504 40286 40630 41786 49160 80572 81260 83572 100715 104465 161144 162520 167144 201430 208930 293731 342431 402860 417860 587462 684862 805720 835720 1174924 1369724 1468655 1712155 2349848 2739448 2937310 3424310 4814177 4993427 5874620 6848620 9628354 9986854 11749240 13697240 19256708 19973708 24070885 24755747 24967135 38513416 39947416 48141770 49511494 49934270 81841009 96283540 99022988 99868540 123778735 163682018 192567080 198045976 199737080 247557470 327364036 409205045 420847699 495114940 654728072 818410090 841695398 990229880 1636820180 1683390796 2104238495 3273640360 3366781592 4208476990 5916623533 8416953980 11833247066 16833907960 23666494132 29583117665 47332988264 59166235330 100582600061 118332470660 201165200122 236664941320 402330400244 502913000305 804660800488 1005826000610 2011652001220 4023304002440