Search a number
-
+
4435554410140 = 2257831971937651
BaseRepresentation
bin100000010001011101110…
…1001010001111010011100
3120201000221102011020121011
41000202323221101322130
51040133003412111030
613233355432345004
7635313113260420
oct100427351217234
916630842136534
104435554410140
1114601209145a7
125b7782245164
1326236a483389
141149794c8b80
157a5a3e48b2a
hex408bba51e9c

4435554410140 has 96 divisors (see below), whose sum is σ = 10828281429504. Its totient is φ = 1494811718400.

The previous prime is 4435554410101. The next prime is 4435554410153. The reversal of 4435554410140 is 410144555344.

It is a super-3 number, since 3×44355544101403 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4435554410093 and 4435554410102.

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, 1320315 + ... + 3257965.

It is an arithmetic number, because the mean of its divisors is an integer number (112794598224).

Almost surely, 24435554410140 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 4435554410140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414140714752).

4435554410140 is an abundant number, since it is smaller than the sum of its proper divisors (6392727019364).

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

4435554410140 is a wasteful number, since it uses less digits than its factorization.

4435554410140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937947 (or 1937945 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 4435554410140 its reverse (410144555344), we get a palindrome (4845698965484).

The spelling of 4435554410140 in words is "four trillion, four hundred thirty-five billion, five hundred fifty-four million, four hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 197 332 394 415 581 788 830 985 1162 1379 1660 1970 2324 2758 2905 3940 5516 5810 6895 11620 13790 16351 27580 32702 65404 81755 114457 163510 228914 327020 457828 572285 1144570 1937651 2289140 3875302 7750604 9688255 13563557 19376510 27127114 38753020 54254228 67817785 135635570 160825033 271271140 321650066 381717247 643300132 763434494 804125165 1125775231 1526868988 1608250330 1908586235 2251550462 2672020729 3216500660 3817172470 4503100924 5344041458 5628876155 7634344940 10688082916 11257752310 13360103645 22515504620 26720207290 31682531501 53440414580 63365063002 126730126004 158412657505 221777720507 316825315010 443555441014 633650630020 887110882028 1108888602535 2217777205070 4435554410140