Search a number
-
+
404950938396 = 2231941103142017
BaseRepresentation
bin1011110010010001111…
…01001111001100011100
31102201020201122002200120
411321020331033030130
523113314420012041
6510010515554540
741154030116514
oct5711075171434
91381221562616
10404950938396
1114681427a724
12665952bba50
132c25727c9a4
1415857932844
15a8013ad366
hex5e48f4f31c

404950938396 has 96 divisors (see below), whose sum is σ = 1019887787520. Its totient is φ = 124636262400.

The previous prime is 404950938349. The next prime is 404950938421. The reversal of 404950938396 is 693839059404.

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, 9616780 + ... + 9658796.

It is an arithmetic number, because the mean of its divisors is an integer number (10623831120).

Almost surely, 2404950938396 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 404950938396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509943893760).

404950938396 is an abundant number, since it is smaller than the sum of its proper divisors (614936849124).

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

404950938396 is a wasteful number, since it uses less digits than its factorization.

404950938396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43115 (or 43113 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 60.

The spelling of 404950938396 in words is "four hundred four billion, nine hundred fifty million, nine hundred thirty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 228 246 492 779 1031 1558 2062 2337 3093 3116 4124 4674 6186 9348 12372 19589 39178 42017 42271 58767 78356 84034 84542 117534 126051 126813 168068 169084 235068 252102 253626 504204 507252 798323 803149 1596646 1606298 1722697 2394969 2409447 3193292 3212596 3445394 4789938 4818894 5168091 6890788 9579876 9637788 10336182 20672364 32731243 43319527 65462486 86639054 98193729 129958581 130924972 173278108 196387458 259917162 392774916 519834324 823071013 1646142026 1776100607 2469213039 3292284052 3552201214 4938426078 5328301821 7104402428 9876852156 10656603642 21313207284 33745911533 67491823066 101237734599 134983646132 202475469198 404950938396