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4225001541432 = 2337271120177269
BaseRepresentation
bin111101011110110101101…
…101110100111100111000
3112221220110121210021200120
4331132311231310330320
51023210300343311212
612552534445533240
7614150322361350
oct75366555647470
915856417707616
104225001541432
1113898a4251a01
12582a00574220
13248553a708b9
141086c3a89b60
1574d7e30888c
hex3d7b5b74f38

4225001541432 has 128 divisors (see below), whose sum is σ = 12126222182400. Its totient is φ = 1201671936000.

The previous prime is 4225001541427. The next prime is 4225001541451. The reversal of 4225001541432 is 2341451005224.

It is a super-2 number, since 2×42250015414322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4225001541393 and 4225001541402.

It is a congruent number.

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, 54640494 + ... + 54717762.

It is an arithmetic number, because the mean of its divisors is an integer number (94736110800).

Almost surely, 24225001541432 is an apocalyptic number.

4225001541432 is a gapful number since it is divisible by the number (42) 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 4225001541432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063111091200).

4225001541432 is an abundant number, since it is smaller than the sum of its proper divisors (7901220640968).

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

4225001541432 is a wasteful number, since it uses less digits than its factorization.

4225001541432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78757 (or 78753 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 4225001541432 its reverse (2341451005224), we get a palindrome (6566452546656).

The spelling of 4225001541432 in words is "four trillion, two hundred twenty-five billion, one million, five hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 271 542 813 1084 1201 1626 1897 2168 2402 3252 3603 3794 4804 5691 6504 7206 7588 8407 9608 11382 14412 15176 16814 22764 25221 28824 33628 45528 50442 67256 77269 100884 154538 201768 231807 309076 325471 463614 540883 618152 650942 927228 976413 1081766 1301884 1622649 1854456 1952826 2163532 2278297 2603768 3245298 3905652 4327064 4556594 6490596 6834891 7811304 9113188 12981192 13669782 18226376 20939899 27339564 41879798 54679128 62819697 83759596 92800069 125639394 146579293 167519192 185600138 251278788 278400207 293158586 371200276 439737879 502557576 556800414 586317172 649600483 742400552 879475758 1113600828 1172634344 1299200966 1758951516 1948801449 2227201656 2598401932 3517903032 3897602898 5196803864 7795205796 15590411592 25148818699 50297637398 75446456097 100595274796 150892912194 176041730893 201190549592 301785824388 352083461786 528125192679 603571648776 704166923572 1056250385358 1408333847144 2112500770716 4225001541432