Search a number
-
+
474475342440 = 2335111783201599
BaseRepresentation
bin1101110011110001110…
…11110010101001101000
31200100201000001202120010
412321320323302221220
530233211141424230
61001545421131520
746164640603161
oct6717073625150
91610630052503
10474475342440
11173250a63490
1277b589b9ba0
13359870080c8
1418d71306768
15c51ed769b0
hex6e78ef2a68

474475342440 has 128 divisors (see below), whose sum is σ = 1553707008000. Its totient is φ = 114959243520.

The previous prime is 474475342433. The next prime is 474475342477. The reversal of 474475342440 is 44243574474.

It is a self number, because there is not a number n which added to its sum of digits gives 474475342440.

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, 2252761 + ... + 2454359.

It is an arithmetic number, because the mean of its divisors is an integer number (12138336000).

Almost surely, 2474475342440 is an apocalyptic number.

474475342440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474475342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776853504000).

474475342440 is an abundant number, since it is smaller than the sum of its proper divisors (1079231665560).

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

474475342440 is a wasteful number, since it uses less digits than its factorization.

474475342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203407 (or 203403 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 48.

The spelling of 474475342440 in words is "four hundred seventy-four billion, four hundred seventy-five million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1783 3566 5349 7132 8915 10698 14264 17830 19613 21396 26745 35660 39226 42792 53490 58839 71320 78452 98065 106980 117678 156904 196130 201599 213960 235356 294195 392260 403198 470712 588390 604797 784520 806396 1007995 1176780 1209594 1612792 2015990 2217589 2353560 2419188 3023985 4031980 4435178 4838376 6047970 6652767 8063960 8870356 11087945 12095940 13305534 17740712 22175890 24191880 26611068 33263835 44351780 53222136 66527670 88703560 133055340 266110680 359451017 718902034 1078353051 1437804068 1797255085 2156706102 2875608136 3594510170 3953961187 4313412204 5391765255 7189020340 7907922374 8626824408 10783530510 11861883561 14378040680 15815844748 19769805935 21567061020 23723767122 31631689496 39539611870 43134122040 47447534244 59309417805 79079223740 94895068488 118618835610 158158447480 237237671220 474475342440