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1004514043440 = 243522318768947
BaseRepresentation
bin11101001111000011011…
…00111110011000110000
310120000211022101120222010
432213201230332120300
5112424221043342230
62045244542042520
7132400536326355
oct16474154763060
93500738346863
101004514043440
11358014a98606
12142821879440
137395754b46b
1436893b6a62c
151b1e2bca9b0
hexe9e1b3e630

1004514043440 has 80 divisors (see below), whose sum is σ = 3127957797888. Its totient is φ = 266669184768.

The previous prime is 1004514043433. The next prime is 1004514043483. The reversal of 1004514043440 is 443404154001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1004514043398 and 1004514043407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9330954 + ... + 9437993.

Almost surely, 21004514043440 is an apocalyptic number.

1004514043440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004514043440 is an abundant number, since it is smaller than the sum of its proper divisors (2123443754448).

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

1004514043440 is a wasteful number, since it uses less digits than its factorization.

1004514043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18769186 (or 18769180 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1004514043440 its reverse (443404154001), we get a palindrome (1447918197441).

The spelling of 1004514043440 in words is "one trillion, four billion, five hundred fourteen million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 223 240 446 669 892 1115 1338 1784 2230 2676 3345 3568 4460 5352 6690 8920 10704 13380 17840 26760 53520 18768947 37537894 56306841 75075788 93844735 112613682 150151576 187689470 225227364 281534205 300303152 375378940 450454728 563068410 750757880 900909456 1126136820 1501515760 2252273640 4185475181 4504547280 8370950362 12556425543 16741900724 20927375905 25112851086 33483801448 41854751810 50225702172 62782127715 66967602896 83709503620 100451404344 125564255430 167419007240 200902808688 251128510860 334838014480 502257021720 1004514043440