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4330223120040 = 2335891091371633
BaseRepresentation
bin111111000000110101011…
…010010010111010101000
3120022222001200202022012120
4333000311122102322220
51031421244104320130
613113135501311240
7624563652134166
oct77006532227250
916288050668176
104330223120040
11141a48a076324
1259b286b65520
132554522b000c
1410d8263aa236
157798bb67910
hex3f035692ea8

4330223120040 has 128 divisors (see below), whose sum is σ = 13148708227200. Its totient is φ = 1140702126080.

The previous prime is 4330223119987. The next prime is 4330223120081. The reversal of 4330223120040 is 400213220334.

4330223120040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11466064 + ... + 11837696.

It is an arithmetic number, because the mean of its divisors is an integer number (102724283025).

Almost surely, 24330223120040 is an apocalyptic number.

4330223120040 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 4330223120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6574354113600).

4330223120040 is an abundant number, since it is smaller than the sum of its proper divisors (8818485107160).

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

4330223120040 is a wasteful number, since it uses less digits than its factorization.

4330223120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372827 (or 372823 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 4330223120040 its reverse (400213220334), we get a palindrome (4730436340374).

The spelling of 4330223120040 in words is "four trillion, three hundred thirty billion, two hundred twenty-three million, one hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1091 1335 1780 2136 2182 2670 3273 3560 4364 5340 5455 6546 8728 10680 10910 13092 16365 21820 26184 32730 43640 65460 97099 130920 194198 291297 371633 388396 485495 582594 743266 776792 970990 1114899 1165188 1456485 1486532 1858165 1941980 2229798 2330376 2912970 2973064 3716330 3883960 4459596 5574495 5825940 7432660 8919192 11148990 11651880 14865320 22297980 33075337 44595960 66150674 99226011 132301348 165376685 198452022 264602696 330753370 396904044 405451603 496130055 661506740 793808088 810903206 992260110 1216354809 1323013480 1621806412 1984520220 2027258015 2432709618 3243612824 3969040440 4054516030 4865419236 6081774045 8109032060 9730838472 12163548090 16218064120 24327096180 36085192667 48654192360 72170385334 108255578001 144340770668 180425963335 216511156002 288681541336 360851926670 433022312004 541277890005 721703853340 866044624008 1082555780010 1443407706680 2165111560020 4330223120040