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1055343412440 = 233252931509479
BaseRepresentation
bin11110101101101110101…
…11101000010011011000
310201220000200211001222100
433112313113220103120
5114242320403144230
62124452411523400
7136150251665502
oct17266727502330
93656020731870
101055343412440
11377628930889
12150648459560
1378698084a75
14391166acd72
151c6ba299660
hexf5b75e84d8

1055343412440 has 48 divisors (see below), whose sum is σ = 3429866091600. Its totient is φ = 281424909888.

The previous prime is 1055343412367. The next prime is 1055343412441. The reversal of 1055343412440 is 442143435501.

1055343412440 is a `hidden beast` number, since 1 + 0 + 553 + 4 + 3 + 41 + 24 + 40 = 666.

It is a super-2 number, since 2×10553434124402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1055343412395 and 1055343412404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055343412441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1465754380 + ... + 1465755099.

It is an arithmetic number, because the mean of its divisors is an integer number (71455543575).

Almost surely, 21055343412440 is an apocalyptic number.

1055343412440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055343412440 is an abundant number, since it is smaller than the sum of its proper divisors (2374522679160).

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

1055343412440 is a wasteful number, since it uses less digits than its factorization.

1055343412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931509496 (or 2931509489 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 1055343412440 its reverse (442143435501), we get a palindrome (1497486847941).

The spelling of 1055343412440 in words is "one trillion, fifty-five billion, three hundred forty-three million, four hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2931509479 5863018958 8794528437 11726037916 14657547395 17589056874 23452075832 26383585311 29315094790 35178113748 43972642185 52767170622 58630189580 70356227496 87945284370 105534341244 117260379160 131917926555 175890568740 211068682488 263835853110 351781137480 527671706220 1055343412440