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1055422144032 = 25343373685453
BaseRepresentation
bin11110101101111000000…
…11111101111000100000
310201220020011222001102020
433112330003331320200
5114243001032102112
62124504303221440
7136152226126614
oct17267403757040
93656204861366
101055422144032
11377669316013
1215066a8a7880
13786ab48c9c9
1439122d25344
151c6c214c48c
hexf5bc0fde20

1055422144032 has 96 divisors (see below), whose sum is σ = 2842517418048. Its totient is φ = 342704065536.

The previous prime is 1055422144001. The next prime is 1055422144057. The reversal of 1055422144032 is 2304412245501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10554221440322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055422143984 and 1055422144002.

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, 1197018 + ... + 1882470.

It is an arithmetic number, because the mean of its divisors is an integer number (29609556438).

Almost surely, 21055422144032 is an apocalyptic number.

1055422144032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055422144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421258709024).

1055422144032 is an abundant number, since it is smaller than the sum of its proper divisors (1787095274016).

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

1055422144032 is a wasteful number, since it uses less digits than its factorization.

1055422144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685882 (or 685874 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 1055422144032 its reverse (2304412245501), we get a palindrome (3359834389533).

The spelling of 1055422144032 in words is "one trillion, fifty-five billion, four hundred twenty-two million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 373 516 688 746 1032 1119 1376 1492 2064 2238 2984 4128 4476 5968 8952 11936 16039 17904 32078 35808 48117 64156 96234 128312 192468 256624 384936 513248 685453 769872 1370906 1539744 2056359 2741812 4112718 5483624 8225436 10967248 16450872 21934496 29474479 32901744 58948958 65803488 88423437 117897916 176846874 235795832 255673969 353693748 471591664 511347938 707387496 767021907 943183328 1022695876 1414774992 1534043814 2045391752 2829549984 3068087628 4090783504 6136175256 8181567008 10993980667 12272350512 21987961334 24544701024 32981942001 43975922668 65963884002 87951845336 131927768004 175903690672 263855536008 351807381344 527711072016 1055422144032