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1014443432040 = 233523027367121
BaseRepresentation
bin11101100001100011000…
…10100101100001101000
310120222110022021210110110
432300301202211201220
5113110040004311130
62054010123214320
7133201565620233
oct16606142454150
93528408253413
101014443432040
1136124a964195
121447330773a0
137487a714a2c
143715678c41a
151b5c478bab0
hexec318a5868

1014443432040 has 64 divisors (see below), whose sum is σ = 3043470749760. Its totient is φ = 270505763840.

The previous prime is 1014443432027. The next prime is 1014443432059. The reversal of 1014443432040 is 402343444101.

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 = 1014443431989 and 1014443432007.

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 15 ways as a sum of consecutive naturals, for example, 2579680 + ... + 2946800.

It is an arithmetic number, because the mean of its divisors is an integer number (47554230465).

Almost surely, 21014443432040 is an apocalyptic number.

1014443432040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014443432040 is an abundant number, since it is smaller than the sum of its proper divisors (2029027317720).

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

1014443432040 is a wasteful number, since it uses less digits than its factorization.

1014443432040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390162 (or 390158 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1014443432040 its reverse (402343444101), we get a palindrome (1416786876141).

The spelling of 1014443432040 in words is "one trillion, fourteen billion, four hundred forty-three million, four hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 23027 46054 69081 92108 115135 138162 184216 230270 276324 345405 367121 460540 552648 690810 734242 921080 1101363 1381620 1468484 1835605 2202726 2763240 2936968 3671210 4405452 5506815 7342420 8810904 11013630 14684840 22027260 44054520 8453695267 16907390534 25361085801 33814781068 42268476335 50722171602 67629562136 84536952670 101444343204 126805429005 169073905340 202888686408 253610858010 338147810680 507221716020 1014443432040