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4252720505144 = 2323311375479949
BaseRepresentation
bin111101111000101001111…
…001010010000100111000
3120001120000101220112112012
4331320221321102010320
51024134032422131034
613013401155305052
7616151243600546
oct75705171220470
916046011815465
104252720505144
11139a628947681
125882575ab188
1324b0506a0387
14109b931a0d96
1575952a59cce
hex3de29e52138

4252720505144 has 128 divisors (see below), whose sum is σ = 8668325376000. Its totient is φ = 1950164536320.

The previous prime is 4252720505119. The next prime is 4252720505177. The reversal of 4252720505144 is 4415050272524.

4252720505144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 427447082 + ... + 427457030.

It is an arithmetic number, because the mean of its divisors is an integer number (67721292000).

Almost surely, 24252720505144 is an apocalyptic number.

It is an amenable number.

4252720505144 is an abundant number, since it is smaller than the sum of its proper divisors (4415604870856).

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

4252720505144 is a wasteful number, since it uses less digits than its factorization.

4252720505144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10693 (or 10689 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 41.

Adding to 4252720505144 its reverse (4415050272524), we get a palindrome (8667770777668).

The spelling of 4252720505144 in words is "four trillion, two hundred fifty-two billion, seven hundred twenty million, five hundred five thousand, one hundred forty-four".

Divisors: 1 2 4 8 23 31 46 62 92 124 137 184 248 274 547 548 713 1094 1096 1426 2188 2852 3151 4247 4376 5704 6302 8494 9949 12581 12604 16957 16988 19898 25162 25208 33914 33976 39796 50324 67828 74939 79592 97681 100648 135656 149878 195362 228827 299756 308419 390011 390724 457654 599512 616838 780022 781448 915308 1233676 1363013 1560044 1723597 1830616 2323109 2467352 2726026 3120088 3447194 4646218 5442103 5452052 6894388 7093637 9292436 10884206 10904104 13788776 14187274 18584872 21768412 28374548 31349299 42253403 43536824 53431507 56749096 62698598 84506806 106863014 125168369 125397196 168705193 169013612 213726028 250336738 250794392 337410386 338027224 427452056 500673476 674820772 745568111 971828269 1001346952 1349641544 1491136222 1943656538 2982272444 3880219439 3887313076 5964544888 7760438878 7774626152 15520877756 17148066553 23112611441 31041755512 34296133106 46225222882 68592266212 92450445764 137184532424 184900891528 531590063143 1063180126286 2126360252572 4252720505144