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1341440000 = 21454131
BaseRepresentation
bin100111111110100…
…1100000000000000
310110111011012201222
41033331030000000
510221402040000
6341035414212
745146023535
oct11775140000
93414135658
101341440000
116292317aa
123152b4368
13184bb70a4
14ca22ad8c
157cb78a85
hex4ff4c000

1341440000 has 150 divisors (see below), whose sum is σ = 3378015564. Its totient is φ = 532480000.

The previous prime is 1341439969. The next prime is 1341440011. The reversal of 1341440000 is 441431.

It is a super-2 number, since 2×13414400002 = 3598922547200000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10239935 + ... + 10240065.

Almost surely, 21341440000 is an apocalyptic number.

1341440000 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 1341440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689007782).

1341440000 is an abundant number, since it is smaller than the sum of its proper divisors (2036575564).

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

1341440000 is an frugal number, since it uses more digits than its factorization.

1341440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 138 counting only the distinct ones).

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

The square root of 1341440000 is about 36625.6740552307. The cubic root of 1341440000 is about 1102.8685460495.

Adding to 1341440000 its reverse (441431), we get a palindrome (1341881431).

The spelling of 1341440000 in words is "one billion, three hundred forty-one million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 131 160 200 250 256 262 320 400 500 512 524 625 640 655 800 1000 1024 1048 1250 1280 1310 1600 2000 2048 2096 2500 2560 2620 3200 3275 4000 4096 4192 5000 5120 5240 6400 6550 8000 8192 8384 10000 10240 10480 12800 13100 16000 16375 16384 16768 20000 20480 20960 25600 26200 32000 32750 33536 40000 40960 41920 51200 52400 64000 65500 67072 80000 81875 81920 83840 102400 104800 128000 131000 134144 160000 163750 167680 204800 209600 256000 262000 268288 320000 327500 335360 409600 419200 512000 524000 536576 640000 655000 670720 838400 1024000 1048000 1073152 1280000 1310000 1341440 1676800 2048000 2096000 2146304 2560000 2620000 2682880 3353600 4192000 5120000 5240000 5365760 6707200 8384000 10240000 10480000 10731520 13414400 16768000 20960000 26828800 33536000 41920000 53657600 67072000 83840000 134144000 167680000 268288000 335360000 670720000 1341440000