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4130420602272 = 253614423159469
BaseRepresentation
bin111100000110110000010…
…000001011010110100000
3112121212100010001202101220
4330012300100023112200
51020133100133233042
612441253344055040
7604261446560136
oct74066020132640
915555303052356
104130420602272
111352779828488
12568605604480
1323c65cb76143
14103cb0613756
1572695c018ec
hex3c1b040b5a0

4130420602272 has 96 divisors (see below), whose sum is σ = 11022658254720. Its totient is φ = 1353921592320.

The previous prime is 4130420602271. The next prime is 4130420602279. The reversal of 4130420602272 is 2722060240314.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4130420602271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25821354 + ... + 25980822.

It is an arithmetic number, because the mean of its divisors is an integer number (114819356820).

Almost surely, 24130420602272 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 4130420602272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5511329127360).

4130420602272 is an abundant number, since it is smaller than the sum of its proper divisors (6892237652448).

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

4130420602272 is a wasteful number, since it uses less digits than its factorization.

4130420602272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163966 (or 163958 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

Adding to 4130420602272 its reverse (2722060240314), we get a palindrome (6852480842586).

The spelling of 4130420602272 in words is "four trillion, one hundred thirty billion, four hundred twenty million, six hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 4423 5856 8846 13269 17692 26538 35384 53076 70768 106152 141536 159469 212304 269803 318938 424608 478407 539606 637876 809409 956814 1079212 1275752 1618818 1913628 2158424 2551504 3237636 3827256 4316848 5103008 6475272 7654512 8633696 9727609 12950544 15309024 19455218 25901088 29182827 38910436 58365654 77820872 116731308 155641744 233462616 311283488 466925232 705331387 933850464 1410662774 2115994161 2821325548 4231988322 5642651096 8463976644 11285302192 16927953288 22570604384 33855906576 43025214607 67711813152 86050429214 129075643821 172100858428 258151287642 344201716856 516302575284 688403433712 1032605150568 1376806867424 2065210301136 4130420602272