Search a number
-
+
143634426116100 = 223527091721392383
BaseRepresentation
bin100000101010001001111110…
…111100100011100000000100
3200211120022120010011202202120
4200222021332330203200010
5122311301301041203400
61225252424444005540
742153146656406463
oct4052117674434004
9624508503152676
10143634426116100
1141848022001037
12141393928308b0
13621b88c23b0aa
142767d2c6689da
1511913db06dca0
hex82a27ef23804

143634426116100 has 144 divisors (see below), whose sum is σ = 416411304637440. Its totient is φ = 38226168345600.

The previous prime is 143634426116063. The next prime is 143634426116101. The reversal of 143634426116100 is 1611624436341.

It is not an unprimeable number, because it can be changed into a prime (143634426116101) 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, 365860509 + ... + 366252891.

Almost surely, 2143634426116100 is an apocalyptic number.

143634426116100 is a gapful number since it is divisible by the number (10) 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 143634426116100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208205652318720).

143634426116100 is an abundant number, since it is smaller than the sum of its proper divisors (272776878521340).

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

143634426116100 is a wasteful number, since it uses less digits than its factorization.

143634426116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394830 (or 394823 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 143634426116100 in words is "one hundred forty-three trillion, six hundred thirty-four billion, four hundred twenty-six million, one hundred sixteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 709 1418 1721 2127 2836 3442 3545 4254 5163 6884 7090 8508 8605 10326 10635 14180 17210 17725 20652 21270 25815 34420 35450 42540 43025 51630 53175 70900 86050 103260 106350 129075 172100 212700 258150 392383 516300 784766 1177149 1220189 1569532 1961915 2354298 2440378 3660567 3923830 4708596 4880756 5885745 6100945 7321134 7847660 9809575 11771490 12201890 14642268 18302835 19619150 23542980 24403780 29428725 30504725 36605670 39238300 58857450 61009450 73211340 91514175 117714900 122018900 183028350 278199547 366056700 556399094 675291143 834598641 1112798188 1350582286 1390997735 1669197282 2025873429 2701164572 2781995470 3338394564 3376455715 4051746858 4172993205 5563990940 6752911430 6954988675 8103493716 8345986410 10129367145 13505822860 13909977350 16691972820 16882278575 20258734290 20864966025 27819954700 33764557150 40517468580 41729932050 50646835725 67529114300 83459864100 101293671450 202587342900 478781420387 957562840774 1436344261161 1915125681548 2393907101935 2872688522322 4787814203870 5745377044644 7181721305805 9575628407740 11969535509675 14363442611610 23939071019350 28726885223220 35908606529025 47878142038700 71817213058050 143634426116100