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1402156431144 = 233473071006897
BaseRepresentation
bin10100011001110111000…
…010010011011100101000
311222001012200200211220000
4110121313002103130220
5140433104021244034
62552050342303000
7203205513005220
oct24316702233450
94861180624800
101402156431144
114a0718829997
121a78b7427a60
13a22b85c2431
144bc16b85080
1526717622599
hex14677093728

1402156431144 has 160 divisors (see below), whose sum is σ = 4503008959680. Its totient is φ = 399310788096.

The previous prime is 1402156431103. The next prime is 1402156431149. The reversal of 1402156431144 is 4411346512041.

1402156431144 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 1 + 5 + 643 + 1 + 1 + 4 + 4 = 666.

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 = 1402156431099 and 1402156431108.

It is not an unprimeable number, because it can be changed into a prime (1402156431149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 889104 + ... + 1896000.

It is an arithmetic number, because the mean of its divisors is an integer number (28143805998).

Almost surely, 21402156431144 is an apocalyptic number.

1402156431144 is a gapful number since it is divisible by the number (14) 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 1402156431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251504479840).

1402156431144 is an abundant number, since it is smaller than the sum of its proper divisors (3100852528536).

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

1402156431144 is a wasteful number, since it uses less digits than its factorization.

1402156431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007229 (or 1007216 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1402156431144 in words is "one trillion, four hundred two billion, one hundred fifty-six million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 307 324 378 504 567 614 648 756 921 1134 1228 1512 1842 2149 2268 2456 2763 3684 4298 4536 5526 6447 7368 8289 8596 11052 12894 16578 17192 19341 22104 24867 25788 33156 38682 49734 51576 58023 66312 77364 99468 116046 154728 174069 198936 232092 348138 464184 696276 1006897 1392552 2013794 3020691 4027588 6041382 7048279 8055176 9062073 12082764 14096558 18124146 21144837 24165528 27186219 28193116 36248292 42289674 54372438 56386232 63434511 72496584 81558657 84579348 108744876 126869022 163117314 169158696 190303533 217489752 253738044 309117379 326234628 380607066 507476088 570910599 618234758 652469256 761214132 927352137 1141821198 1236469516 1522428264 1854704274 2163821653 2283642396 2472939032 2782056411 3709408548 4327643306 4567284792 5564112822 6491464959 7418817096 8346169233 8655286612 11128225644 12982929918 16692338466 17310573224 19474394877 22256451288 25038507699 25965859836 33384676932 38948789754 50077015398 51931719672 58423184631 66769353864 77897579508 100154030796 116846369262 155795159016 175269553893 200308061592 233692738524 350539107786 467385477048 701078215572 1402156431144