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4242232143300 = 22352891571012007
BaseRepresentation
bin111101101110111000101…
…111010110110111000100
3120000112221110012112220010
4331232320233112313010
51024001042412041200
613004504325310220
7615330316153254
oct75567057266704
916015843175803
104242232143300
1113961364a5138
1258620ab65370
1324a06b7741c8
1410947a235964
157553bd82150
hex3dbb8bd6dc4

4242232143300 has 144 divisors (see below), whose sum is σ = 12491174263680. Its totient is φ = 1111425469440.

The previous prime is 4242232143269. The next prime is 4242232143329. The reversal of 4242232143300 is 33412322424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3685897 + ... + 4697903.

It is an arithmetic number, because the mean of its divisors is an integer number (86744265720).

Almost surely, 24242232143300 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 4242232143300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245587131840).

4242232143300 is an abundant number, since it is smaller than the sum of its proper divisors (8248942120380).

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

4242232143300 is a wasteful number, since it uses less digits than its factorization.

4242232143300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012270 (or 1012263 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 4242232143300 its reverse (33412322424), we get a palindrome (4275644465724).

The spelling of 4242232143300 in words is "four trillion, two hundred forty-two billion, two hundred thirty-two million, one hundred forty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 150 157 178 267 300 314 356 445 471 534 628 785 890 942 1068 1335 1570 1780 1884 2225 2355 2670 3140 3925 4450 4710 5340 6675 7850 8900 9420 11775 13350 13973 15700 23550 26700 27946 41919 47100 55892 69865 83838 139730 167676 209595 279460 349325 419190 698650 838380 1012007 1047975 1397300 2024014 2095950 3036021 4048028 4191900 5060035 6072042 10120070 12144084 15180105 20240140 25300175 30360210 50600350 60720420 75900525 90068623 101200700 151801050 158885099 180137246 270205869 303602100 317770198 360274492 450343115 476655297 540411738 635540396 794425495 900686230 953310594 1080823476 1351029345 1588850990 1801372460 1906621188 2251715575 2383276485 2702058690 3177701980 3972127475 4503431150 4766552970 5404117380 6755146725 7944254950 9006862300 9533105940 11916382425 13510293450 14140773811 15888509900 23832764850 27020586900 28281547622 42422321433 47665529700 56563095244 70703869055 84844642866 141407738110 169689285732 212111607165 282815476220 353519345275 424223214330 707038690550 848446428660 1060558035825 1414077381100 2121116071650 4242232143300