Search a number
-
+
3841082008148 = 2271141864135201
BaseRepresentation
bin110111111001010010010…
…101000010001001010100
3111121012111121110021002002
4313321102111002021110
51000413013443230043
612100322501534432
7544336410236450
oct67712225021124
914535447407062
103841082008148
111250aa2725220
12520516714418
1321b29ba80428
14d3ca3403660
1569dae4ecbb8
hex37e52542254

3841082008148 has 96 divisors (see below), whose sum is σ = 8586183465216. Its totient is φ = 1459814400000.

The previous prime is 3841082008117. The next prime is 3841082008193. The reversal of 3841082008148 is 8418002801483.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109100948 + ... + 109136148.

It is an arithmetic number, because the mean of its divisors is an integer number (89439411096).

Almost surely, 23841082008148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3841082008148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293091732608).

3841082008148 is an abundant number, since it is smaller than the sum of its proper divisors (4745101457068).

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

3841082008148 is a wasteful number, since it uses less digits than its factorization.

3841082008148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43905 (or 43903 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 47.

The spelling of 3841082008148 in words is "three trillion, eight hundred forty-one billion, eighty-two million, eight thousand, one hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 154 164 287 308 451 574 902 1148 1804 3157 6314 8641 12628 17282 34564 35201 60487 70402 95051 120974 140804 190102 241948 246407 354281 380204 387211 492814 665357 708562 774422 985628 1330714 1417124 1443241 1548844 2479967 2661428 2710477 2886482 3897091 4959934 5420954 5772964 7794182 9919868 10102687 10841908 15588364 15875651 20205374 27279637 31751302 40410748 54559274 63502604 109118548 111129557 222259114 304171841 444518228 608343682 1216687364 2129202887 3345890251 4258405774 6691780502 8516811548 12471045481 13383561004 23421231757 24942090962 46842463514 49884181924 87297318367 93684927028 137181500291 174594636734 274363000582 349189273468 548726001164 960270502037 1920541004074 3841082008148