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369070205440 = 295120072
BaseRepresentation
bin1010101111011100100…
…11000110101000000000
31022021122010201000021011
411113232103012220000
522021323433033230
6441314251210304
735443621661566
oct5275623065000
91267563630234
10369070205440
11132581566a12
125b640a46994
1328a5974a261
1413c12483a36
159901359e2a
hex55ee4c6a00

369070205440 has 60 divisors (see below), whose sum is σ = 884977189866. Its totient is φ = 147615787008.

The previous prime is 369070205363. The next prime is 369070205501. The reversal of 369070205440 is 44502070963.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 332163184896 + 36907020544 = 576336^2 + 192112^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 369070205393 and 369070205402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30731917 + ... + 30743923.

Almost surely, 2369070205440 is an apocalyptic number.

It is an amenable number.

369070205440 is an abundant number, since it is smaller than the sum of its proper divisors (515906984426).

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

369070205440 is an frugal number, since it uses more digits than its factorization.

369070205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24037 (or 12014 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

Multiplying 369070205440 by its sum of digits (40), we get a square (14762808217600 = 38422402).

369070205440 divided by its sum of digits (40) gives a square (9226755136 = 960562).

The spelling of 369070205440 in words is "three hundred sixty-nine billion, seventy million, two hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 12007 24014 48028 60035 96056 120070 192112 240140 384224 480280 768448 960560 1536896 1921120 3073792 3842240 6147584 7684480 15368960 30737920 144168049 288336098 576672196 720840245 1153344392 1441680490 2306688784 2883360980 4613377568 5766721960 9226755136 11533443920 18453510272 23066887840 36907020544 46133775680 73814041088 92267551360 184535102720 369070205440