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402144100000 = 25554998059
BaseRepresentation
bin1011101101000011010…
…01111111111010100000
31102110000010001221020221
411312201221333322200
523042042342200000
6504424211412424
741024335310266
oct5664151777240
91373003057227
10402144100000
11145603951475
1265b312b4114
132bbca8c9c76
141566cc4c436
15a6d9c7261a
hex5da1a7fea0

402144100000 has 144 divisors (see below), whose sum is σ = 991694340000. Its totient is φ = 160515360000.

The previous prime is 402144099991. The next prime is 402144100081. The reversal of 402144100000 is 1441204.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 49895971 + ... + 49904029.

It is an arithmetic number, because the mean of its divisors is an integer number (6886766250).

Almost surely, 2402144100000 is an apocalyptic number.

402144100000 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 402144100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495847170000).

402144100000 is an abundant number, since it is smaller than the sum of its proper divisors (589550240000).

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

402144100000 is an frugal number, since it uses more digits than its factorization.

402144100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8593 (or 8565 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 402144100000 its reverse (1441204), we get a palindrome (402145541204).

The spelling of 402144100000 in words is "four hundred two billion, one hundred forty-four million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 499 500 625 800 998 1000 1250 1996 2000 2495 2500 3125 3992 4000 4990 5000 6250 7984 8059 9980 10000 12475 12500 15968 16118 19960 20000 24950 25000 32236 39920 40295 49900 50000 62375 64472 79840 80590 99800 100000 124750 128944 161180 199600 201475 249500 257888 311875 322360 399200 402950 499000 623750 644720 805900 998000 1007375 1247500 1289440 1559375 1611800 1996000 2014750 2495000 3118750 3223600 4021441 4029500 4990000 5036875 6237500 6447200 8042882 8059000 9980000 10073750 12475000 16085764 16118000 20107205 20147500 24950000 25184375 32171528 32236000 40214410 40295000 49900000 50368750 64343056 80428820 80590000 100536025 100737500 128686112 160857640 161180000 201072050 201475000 321715280 402144100 402950000 502680125 643430560 804288200 805900000 1005360250 1608576400 2010720500 2513400625 3217152800 4021441000 5026801250 8042882000 10053602500 12567003125 16085764000 20107205000 25134006250 40214410000 50268012500 80428820000 100536025000 201072050000 402144100000