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1431106152 = 233722921447
BaseRepresentation
bin101010101001100…
…1111001001101000
310200201212201120120
41111103033021220
510412330344102
6354001323240
750315126100
oct12523171150
93621781516
101431106152
11674905263
1233b336520
1319a650098
14d80cc200
158598b6bc
hex554cf268

1431106152 has 144 divisors (see below), whose sum is σ = 4313331360. Its totient is φ = 394515072.

The previous prime is 1431106141. The next prime is 1431106199. The reversal of 1431106152 is 2516011341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 988293 + ... + 989739.

It is an arithmetic number, because the mean of its divisors is an integer number (29953690).

Almost surely, 21431106152 is an apocalyptic number.

1431106152 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 1431106152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156665680).

1431106152 is an abundant number, since it is smaller than the sum of its proper divisors (2882225208).

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

1431106152 is a wasteful number, since it uses less digits than its factorization.

1431106152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1431106152 is about 37829.9636796019. The cubic root of 1431106152 is about 1126.9135898153.

Adding to 1431106152 its reverse (2516011341), we get a palindrome (3947117493).

The spelling of 1431106152 in words is "one billion, four hundred thirty-one million, one hundred six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 348 392 406 588 609 696 812 841 1176 1218 1421 1447 1624 1682 2436 2523 2842 2894 3364 4263 4341 4872 5046 5684 5788 5887 6728 8526 8682 10092 10129 11368 11576 11774 17052 17364 17661 20184 20258 23548 30387 34104 34728 35322 40516 41209 41963 47096 60774 70644 70903 81032 82418 83926 121548 123627 125889 141288 141806 164836 167852 212709 243096 247254 251778 283612 293741 329672 335704 425418 494508 503556 567224 587482 850836 881223 989016 1007112 1174964 1216927 1701672 1762446 2056187 2349928 2433854 3524892 3650781 4112374 4867708 6168561 7049784 7301562 8224748 8518489 9735416 12337122 14603124 16449496 17036978 24674244 25555467 29206248 34073956 49348488 51110934 59629423 68147912 102221868 119258846 178888269 204443736 238517692 357776538 477035384 715553076 1431106152