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1324025041040 = 245136173206237
BaseRepresentation
bin10011010001000110000…
…010101101000010010000
311200120112120200222202222
4103101012002231002100
5133143100402303130
62452125415400212
7164441401104662
oct23210602550220
94616476628688
101324025041040
11470574689109
12194731383068
1397b16650560
1448124262532
1524693210ce5
hex134460ad090

1324025041040 has 80 divisors (see below), whose sum is σ = 3315708124848. Its totient is φ = 488789219328.

The previous prime is 1324025041019. The next prime is 1324025041043. The reversal of 1324025041040 is 401405204231.

It can be written as a sum of positive squares in 8 ways, for example, as 78185107456 + 1245839933584 = 279616^2 + 1116172^2 .

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 (26).

It is not an unprimeable number, because it can be changed into a prime (1324025041043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6316802 + ... + 6523038.

Almost surely, 21324025041040 is an apocalyptic number.

1324025041040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1324025041040 is an abundant number, since it is smaller than the sum of its proper divisors (1991683083808).

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

1324025041040 is a wasteful number, since it uses less digits than its factorization.

1324025041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212436 (or 212430 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The spelling of 1324025041040 in words is "one trillion, three hundred twenty-four billion, twenty-five million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 6173 12346 24692 30865 49384 61730 80249 98768 123460 160498 206237 246920 320996 401245 412474 493840 641992 802490 824948 1031185 1283984 1604980 1649896 2062370 2681081 3209960 3299792 4124740 5362162 6419920 8249480 10724324 13405405 16498960 21448648 26810810 42897296 53621620 107243240 214486480 1273101001 2546202002 5092404004 6365505005 10184808008 12731010010 16550313013 20369616016 25462020020 33100626026 50924040040 66201252052 82751565065 101848080080 132402504104 165503130130 264805008208 331006260260 662012520520 1324025041040