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160143054012 = 223267711635737
BaseRepresentation
bin1001010100100101000…
…1010001010010111100
3120022100122102001012200
42111021101101102330
510110433110212022
6201322501231500
714366331333204
oct2251121212274
9508318361180
10160143054012
1161a09640817
1227053702590
1312141aa6076
147a72911404
1542742e8bac
hex25494514bc

160143054012 has 144 divisors (see below), whose sum is σ = 419263633152. Its totient is φ = 51516622080.

The previous prime is 160143054011. The next prime is 160143054023. The reversal of 160143054012 is 210450341061.

It is a happy number.

160143054012 is a `hidden beast` number, since 1 + 601 + 4 + 3 + 0 + 5 + 40 + 12 = 666.

It is a super-2 number, since 2×1601430540122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160143054011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27911208 + ... + 27916944.

It is an arithmetic number, because the mean of its divisors is an integer number (2911553008).

Almost surely, 2160143054012 is an apocalyptic number.

160143054012 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 160143054012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209631816576).

160143054012 is an abundant number, since it is smaller than the sum of its proper divisors (259120579140).

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

160143054012 is a wasteful number, since it uses less digits than its factorization.

160143054012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6048 (or 6043 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 160143054012 its reverse (210450341061), we get a palindrome (370593395073).

The spelling of 160143054012 in words is "one hundred sixty billion, one hundred forty-three million, fifty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 67 71 134 142 163 201 213 268 284 326 402 426 489 603 639 652 804 852 978 1206 1278 1467 1956 2412 2556 2934 4757 5737 5868 9514 10921 11474 11573 14271 17211 19028 21842 22948 23146 28542 32763 34422 34719 42813 43684 46292 51633 57084 65526 68844 69438 85626 98289 103266 104157 131052 138876 171252 196578 206532 208314 384379 393156 407327 416628 768758 775391 814654 935131 1153137 1221981 1537516 1550782 1629308 1870262 2306274 2326173 2443962 2805393 3101564 3459411 3665943 3740524 4612548 4652346 4887924 5610786 6918822 6978519 7331886 8416179 9304692 11221572 13837644 13957038 14663772 16832358 27290909 27914076 33664716 54581818 62653777 66394301 81872727 109163636 125307554 132788602 163745454 187961331 199182903 245618181 250615108 265577204 327490908 375922662 398365806 491236362 563883993 597548709 751845324 796731612 982472724 1127767986 1195097418 2255535972 2390194836 4448418167 8896836334 13345254501 17793672668 26690509002 40035763503 53381018004 80071527006 160143054012