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440202142100 = 2252731157129209
BaseRepresentation
bin1100110011111100001…
…01111010000110010100
31120002020102222210022202
412121332011322012110
524203013222021400
6534120455344032
743542422320250
oct6317605720624
91502212883282
10440202142100
1115a7636a6826
1271392982018
1332684547bc6
141743d54d260
15b6b600e4d5
hex667e17a194

440202142100 has 144 divisors (see below), whose sum is σ = 1134104079360. Its totient is φ = 145126425600.

The previous prime is 440202142091. The next prime is 440202142103. The reversal of 440202142100 is 1241202044.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440202142103) 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, 3342296 + ... + 3471504.

Almost surely, 2440202142100 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 440202142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567052039680).

440202142100 is an abundant number, since it is smaller than the sum of its proper divisors (693901937260).

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

440202142100 is a wasteful number, since it uses less digits than its factorization.

440202142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129418 (or 129411 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 440202142100 its reverse (1241202044), we get a palindrome (441443344144).

The spelling of 440202142100 in words is "four hundred forty billion, two hundred two million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 157 175 217 310 314 350 434 620 628 700 775 785 868 1085 1099 1550 1570 2170 2198 3100 3140 3925 4340 4396 4867 5425 5495 7850 9734 10850 10990 15700 19468 21700 21980 24335 27475 34069 48670 54950 68138 97340 109900 121675 129209 136276 170345 243350 258418 340690 486700 516836 646045 681380 851725 904463 1292090 1703450 1808926 2584180 3230225 3406900 3617852 4005479 4522315 6460450 8010958 9044630 12920900 16021916 18089260 20027395 20285813 22611575 28038353 40054790 40571626 45223150 56076706 80109580 81143252 90446300 100136975 101429065 112153412 140191765 142000691 200273950 202858130 280383530 284001382 400547900 405716260 507145325 560767060 568002764 628860203 700958825 710003455 1014290650 1257720406 1401917650 1420006910 2028581300 2515440812 2803835300 2840013820 3144301015 3550017275 4402021421 6288602030 7100034550 8804042842 12577204060 14200069100 15721505075 17608085684 22010107105 31443010150 44020214210 62886020300 88040428420 110050535525 220101071050 440202142100