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1055142400440 = 23358792853337
BaseRepresentation
bin11110101101010110110…
…00110101000110111000
310201212111200120121100110
433112223120311012320
5114241412423303230
62124420431304320
7136142261264622
oct17265330650670
93655450517313
101055142400440
11377535417567
121505b107b0a0
1378665534c5b
14390d7b05c12
151c6a77e04b0
hexf5ab6351b8

1055142400440 has 32 divisors (see below), whose sum is σ = 3165427201680. Its totient is φ = 281371306752.

The previous prime is 1055142400439. The next prime is 1055142400447. The reversal of 1055142400440 is 440042415501.

It is a super-2 number, since 2×10551424004402 (a number of 25 digits) contains 22 as substring.

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 = 1055142400398 and 1055142400407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055142400447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4396426549 + ... + 4396426788.

Almost surely, 21055142400440 is an apocalyptic number.

1055142400440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055142400440 is an abundant number, since it is smaller than the sum of its proper divisors (2110284801240).

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

1055142400440 is a wasteful number, since it uses less digits than its factorization.

1055142400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8792853351 (or 8792853347 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 1055142400440 its reverse (440042415501), we get a palindrome (1495184815941).

The spelling of 1055142400440 in words is "one trillion, fifty-five billion, one hundred forty-two million, four hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 8792853337 17585706674 26378560011 35171413348 43964266685 52757120022 70342826696 87928533370 105514240044 131892800055 175857066740 211028480088 263785600110 351714133480 527571200220 1055142400440