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401030144000 = 21353391631
BaseRepresentation
bin1011101010111110100…
…00100110000000000000
31102100010110222002220022
411311133100212000000
523032302204102000
6504121455433012
740654620660203
oct5653720460000
91370113862808
10401030144000
11145092074882
1265880225768
132ba80ba0bc5
14155a4d1993a
15a672081585
hex5d5f426000

401030144000 has 112 divisors (see below), whose sum is σ = 1000912700736. Its totient is φ = 160411648000.

The previous prime is 401030143993. The next prime is 401030144027. The reversal of 401030144000 is 441030104.

It is a self number, because there is not a number n which added to its sum of digits gives 401030144000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 828185 + ... + 1219815.

Almost surely, 2401030144000 is an apocalyptic number.

401030144000 is a gapful number since it is divisible by the number (40) 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 401030144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500456350368).

401030144000 is an abundant number, since it is smaller than the sum of its proper divisors (599882556736).

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

401030144000 is an frugal number, since it uses more digits than its factorization.

401030144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391672 (or 391638 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 401030144000 its reverse (441030104), we get a palindrome (401471174104).

The spelling of 401030144000 in words is "four hundred one billion, thirty million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 2000 2048 2560 3200 4000 4096 5120 6400 8000 8192 10240 12800 16000 20480 25600 32000 40960 51200 64000 102400 128000 204800 256000 391631 512000 783262 1024000 1566524 1958155 3133048 3916310 6266096 7832620 9790775 12532192 15665240 19581550 25064384 31330480 39163100 48953875 50128768 62660960 78326200 97907750 100257536 125321920 156652400 195815500 200515072 250643840 313304800 391631000 401030144 501287680 626609600 783262000 802060288 1002575360 1253219200 1566524000 1604120576 2005150720 2506438400 3133048000 3208241152 4010301440 5012876800 6266096000 8020602880 10025753600 12532192000 16041205760 20051507200 25064384000 40103014400 50128768000 80206028800 100257536000 200515072000 401030144000