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141242243200 = 275297455033
BaseRepresentation
bin1000001110001010110…
…0011001100010000000
3111111120102012101001121
42003202230121202000
54303231003240300
6144515155242024
713130054154412
oct2034254314200
9444512171047
10141242243200
115499a622913
12234598a9314
131041c057046
146b9c5d69b2
153a19d0381a
hex20e2b19880

141242243200 has 96 divisors (see below), whose sum is σ = 352510289460. Its totient is φ = 55914332160.

The previous prime is 141242243189. The next prime is 141242243213. The reversal of 141242243200 is 2342242141.

It can be written as a sum of positive squares in 6 ways, for example, as 65810719296 + 75431523904 = 256536^2 + 274648^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82884 + ... + 537916.

Almost surely, 2141242243200 is an apocalyptic number.

141242243200 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 141242243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176255144730).

141242243200 is an abundant number, since it is smaller than the sum of its proper divisors (211268046260).

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

141242243200 is an equidigital number, since it uses as much as digits as its factorization.

141242243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455154 (or 455137 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 141242243200 its reverse (2342242141), we get a palindrome (143584485341).

The spelling of 141242243200 in words is "one hundred forty-one billion, two hundred forty-two million, two hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 97 100 128 160 194 200 320 388 400 485 640 776 800 970 1552 1600 1940 2425 3104 3200 3880 4850 6208 7760 9700 12416 15520 19400 31040 38800 62080 77600 155200 310400 455033 910066 1820132 2275165 3640264 4550330 7280528 9100660 11375825 14561056 18201320 22751650 29122112 36402640 44138201 45503300 58244224 72805280 88276402 91006600 145610560 176552804 182013200 220691005 291221120 353105608 364026400 441382010 706211216 728052800 882764020 1103455025 1412422432 1456105600 1765528040 2206910050 2824844864 3531056080 4413820100 5649689728 7062112160 8827640200 14124224320 17655280400 28248448640 35310560800 70621121600 141242243200