Search a number
-
+
1404202120000 = 2654255713729
BaseRepresentation
bin10100011011110000111…
…101111111001101000000
311222020111021000121102221
4110123300331333031000
5141001301220320000
62553025340420424
7203310303040531
oct24336075771500
94866437017387
101404202120000
114a1578542239
121a8188547714
13a2553375804
144bd6c734688
15267d700c61a
hex146f0f7f340

1404202120000 has 140 divisors (see below), whose sum is σ = 3483580350580. Its totient is φ = 561420288000.

The previous prime is 1404202119911. The next prime is 1404202120037. The reversal of 1404202120000 is 212024041.

It can be written as a sum of positive squares in 10 ways, for example, as 1192359170304 + 211842949696 = 1091952^2 + 460264^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102273136 + ... + 102286864.

Almost surely, 21404202120000 is an apocalyptic number.

1404202120000 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 1404202120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741790175290).

1404202120000 is an abundant number, since it is smaller than the sum of its proper divisors (2079378230580).

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

1404202120000 is an equidigital number, since it uses as much as digits as its factorization.

1404202120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16318 (or 16293 counting only the distinct ones).

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

Adding to 1404202120000 its reverse (212024041), we get a palindrome (1404414144041).

The spelling of 1404202120000 in words is "one trillion, four hundred four billion, two hundred two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 2557 4000 5000 5114 8000 10000 10228 12785 13729 20000 20456 25570 27458 40000 40912 51140 54916 63925 68645 81824 102280 109832 127850 137290 163648 204560 219664 255700 274580 319625 343225 409120 439328 511400 549160 639250 686450 818240 878656 1022800 1098320 1278500 1372900 1598125 1716125 2045600 2196640 2557000 2745800 3196250 3432250 4091200 4393280 5114000 5491600 6392500 6864500 8580625 10228000 10983200 12785000 13729000 17161250 20456000 21966400 25570000 27458000 34322500 35105053 51140000 54916000 68645000 70210106 102280000 109832000 137290000 140420212 175525265 274580000 280840424 351050530 549160000 561680848 702101060 877626325 1123361696 1404202120 1755252650 2246723392 2808404240 3510505300 4388131625 5616808480 7021010600 8776263250 11233616960 14042021200 17552526500 21940658125 28084042400 35105053000 43881316250 56168084800 70210106000 87762632500 140420212000 175525265000 280840424000 351050530000 702101060000 1404202120000