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143400054456 = 23332964335603
BaseRepresentation
bin1000010110001101001…
…1110010111010111000
3111201010210111112122000
42011203103302322320
54322140403220311
6145513240501000
713234405231341
oct2054323627270
9451123445560
10143400054456
11558a76573aa
122396047a760
13106a4106839
146d250110c8
153ae448a056
hex21634f2eb8

143400054456 has 128 divisors (see below), whose sum is σ = 412721568000. Its totient is φ = 46078671744.

The previous prime is 143400054407. The next prime is 143400054461. The reversal of 143400054456 is 654450004341.

143400054456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 143400054456.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4009951 + ... + 4045553.

It is an arithmetic number, because the mean of its divisors is an integer number (3224387250).

Almost surely, 2143400054456 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 143400054456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206360784000).

143400054456 is an abundant number, since it is smaller than the sum of its proper divisors (269321513544).

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

143400054456 is a wasteful number, since it uses less digits than its factorization.

143400054456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36290 (or 36280 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 143400054456 its reverse (654450004341), we get a palindrome (797850058797).

The spelling of 143400054456 in words is "one hundred forty-three billion, four hundred million, fifty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 643 696 783 1044 1286 1566 1929 2088 2572 3132 3858 5144 5787 6264 7716 11574 15432 17361 18647 23148 34722 35603 37294 46296 55941 69444 71206 74588 106809 111882 138888 142412 149176 167823 213618 223764 284824 320427 335646 427236 447528 503469 640854 671292 854472 961281 1006938 1032487 1281708 1342584 1922562 2013876 2064974 2563416 3097461 3845124 4027752 4129948 6194922 7690248 8259896 9292383 12389844 18584766 22892729 24779688 27877149 37169532 45785458 55754298 68678187 74339064 91570916 111508596 137356374 183141832 206034561 223017192 274712748 412069122 549425496 618103683 663889141 824138244 1236207366 1327778282 1648276488 1991667423 2472414732 2655556564 3983334846 4944829464 5311113128 5975002269 7966669692 11950004538 15933339384 17925006807 23900009076 35850013614 47800018152 71700027228 143400054456