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2150211440000 = 2754132067511
BaseRepresentation
bin11111010010100010100…
…101101100110110000000
321121120001221011121222202
4133102202211230312000
5240212113112040000
64323443221252332
7311230146451331
oct37224245546600
97546057147882
102150211440000
11759999335a38
122a88855640a8
131279c1874c50
14760dc360288
153adea425dd5
hex1f4a296cd80

2150211440000 has 160 divisors (see below), whose sum is σ = 5764574933040. Its totient is φ = 793923840000.

The previous prime is 2150211439979. The next prime is 2150211440053. The reversal of 2150211440000 is 441120512.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6245 + ... + 2073755.

Almost surely, 22150211440000 is an apocalyptic number.

2150211440000 is a gapful number since it is divisible by the number (20) 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 2150211440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882287466520).

2150211440000 is an abundant number, since it is smaller than the sum of its proper divisors (3614363493040).

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

2150211440000 is an equidigital number, since it uses as much as digits as its factorization.

2150211440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067558 (or 2067531 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 2150211440000 its reverse (441120512), we get a palindrome (2150652560512).

The spelling of 2150211440000 in words is "two trillion, one hundred fifty billion, two hundred eleven million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 625 640 650 800 832 1000 1040 1250 1300 1600 1625 1664 2000 2080 2500 2600 3200 3250 4000 4160 5000 5200 6500 8000 8125 8320 10000 10400 13000 16000 16250 20000 20800 26000 32500 40000 41600 52000 65000 80000 104000 130000 208000 260000 520000 1040000 2067511 4135022 8270044 10337555 16540088 20675110 26877643 33080176 41350220 51687775 53755286 66160352 82700440 103375550 107510572 132320704 134388215 165400880 206751100 215021144 258438875 264641408 268776430 330801760 413502200 430042288 516877750 537552860 661603520 671941075 827004400 860084576 1033755500 1075105720 1292194375 1323207040 1343882150 1654008800 1720169152 2067511000 2150211440 2584388750 2687764300 3308017600 3359705375 3440338304 4135022000 4300422880 5168777500 5375528600 6616035200 6719410750 8270044000 8600845760 10337555000 10751057200 13438821500 16540088000 16798526875 17201691520 20675110000 21502114400 26877643000 33080176000 33597053750 41350220000 43004228800 53755286000 67194107500 82700440000 86008457600 107510572000 134388215000 165400880000 215021144000 268776430000 430042288000 537552860000 1075105720000 2150211440000