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1151022144 = 26319730431
BaseRepresentation
bin100010010011011…
…0011010001000000
32222012211222112210
41010212303101000
54324130202034
6310114222120
740344345456
oct10446632100
92865758483
101151022144
115407a3a78
12281584940
131546063bc
14acc209d6
156b0b38e9
hex449b3440

1151022144 has 56 divisors (see below), whose sum is σ = 3060972288. Its totient is φ = 381713920.

The previous prime is 1151022139. The next prime is 1151022149. The reversal of 1151022144 is 4412201511.

It is an interprime number because it is at equal distance from previous prime (1151022139) and next prime (1151022149).

It is a self number, because there is not a number n which added to its sum of digits gives 1151022144.

It is not an unprimeable number, because it can be changed into a prime (1151022149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22609 + ... + 53039.

Almost surely, 21151022144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1151022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530486144).

1151022144 is an abundant number, since it is smaller than the sum of its proper divisors (1909950144).

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

1151022144 is a wasteful number, since it uses less digits than its factorization.

1151022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30643 (or 30633 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1151022144 is about 33926.7172594108. The cubic root of 1151022144 is about 1047.9998640328. Note that the first 3 decimals are identical.

Adding to 1151022144 its reverse (4412201511), we get a palindrome (5563223655).

The spelling of 1151022144 in words is "one billion, one hundred fifty-one million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 197 394 591 788 1182 1576 2364 3152 4728 6304 9456 12608 18912 30431 37824 60862 91293 121724 182586 243448 365172 486896 730344 973792 1460688 1947584 2921376 5842752 5994907 11989814 17984721 23979628 35969442 47959256 71938884 95918512 143877768 191837024 287755536 383674048 575511072 1151022144