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143126406414100 = 22521797429864137
BaseRepresentation
bin100000100010110000110110…
…100111001011111100010100
3200202202202021100110222120001
4200202300312213023330110
5122224440340020222400
61224223210254421044
742101353530241534
oct4042606647137424
9622682240428501
10143126406414100
114167162813984a
1214076a33b01784
1361b29ba76c625
14274b4d82cd4c4
1511830a634ca6a
hex822c369cbf14

143126406414100 has 72 divisors (see below), whose sum is σ = 328857722618040. Its totient is φ = 53882267013120.

The previous prime is 143126406413959. The next prime is 143126406414143. The reversal of 143126406414100 is 1414604621341.

It can be written as a sum of positive squares in 12 ways, for example, as 24070680691344 + 119055725722756 = 4906188^2 + 10911266^2 .

It is a super-3 number, since 3×1431264064141003 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 143126406414100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165197232 + ... + 166061368.

It is an arithmetic number, because the mean of its divisors is an integer number (4567468369695).

Almost surely, 2143126406414100 is an apocalyptic number.

143126406414100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

143126406414100 is an abundant number, since it is smaller than the sum of its proper divisors (185731316203940).

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

143126406414100 is a wasteful number, since it uses less digits than its factorization.

143126406414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961597 (or 961590 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 143126406414100 in words is "one hundred forty-three trillion, one hundred twenty-six billion, four hundred six million, four hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 97429 194858 389716 487145 864137 974290 1656293 1728274 1948580 2435725 3312586 3456548 4320685 4871450 6625172 8281465 8641370 9742900 14690329 16562930 17282740 21603425 29380658 33125860 41407325 43206850 58761316 73451645 82814650 86413700 146903290 165629300 293806580 367258225 734516450 1469032900 84192003773 168384007546 336768015092 420960018865 841920037730 1431264064141 1683840075460 2104800094325 2862528128282 4209600188650 5725056256564 7156320320705 8419200377300 14312640641410 28625281282820 35781601603525 71563203207050 143126406414100