Search a number
-
+
2451520240000 = 2754132357231
BaseRepresentation
bin100011101011001001111…
…111100011100110000000
322200100210122211120210221
4203223021333203212000
5310131203140140000
65114113550432424
7342054646135306
oct43531177434600
98610718746727
102451520240000
118657582a0027
12337155202714
1314a23c8a0110
1486923234276
1543b8296261a
hex23ac9fe3980

2451520240000 has 160 divisors (see below), whose sum is σ = 6572363545440. Its totient is φ = 905176320000.

The previous prime is 2451520239991. The next prime is 2451520240003. The reversal of 2451520240000 is 420251542.

2451520240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2451520240003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138616 + ... + 2218615.

It is an arithmetic number, because the mean of its divisors is an integer number (41077272159).

Almost surely, 22451520240000 is an apocalyptic number.

2451520240000 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 2451520240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286181772720).

2451520240000 is an abundant number, since it is smaller than the sum of its proper divisors (4120843305440).

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

2451520240000 is an equidigital number, since it uses as much as digits as its factorization.

2451520240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357278 (or 2357251 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 2451520240000 its reverse (420251542), we get a palindrome (2451940491542).

The spelling of 2451520240000 in words is "two trillion, four hundred fifty-one billion, five hundred twenty million, two 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 2357231 4714462 9428924 11786155 18857848 23572310 30644003 37715696 47144620 58930775 61288006 75431392 94289240 117861550 122576012 150862784 153220015 188578480 235723100 245152024 294653875 301725568 306440030 377156960 471446200 490304048 589307750 612880060 754313920 766100075 942892400 980608096 1178615500 1225760120 1473269375 1508627840 1532200150 1885784800 1961216192 2357231000 2451520240 2946538750 3064400300 3771569600 3830500375 3922432384 4714462000 4903040480 5893077500 6128800600 7543139200 7661000750 9428924000 9806080960 11786155000 12257601200 15322001500 18857848000 19152501875 19612161920 23572310000 24515202400 30644003000 37715696000 38305003750 47144620000 49030404800 61288006000 76610007500 94289240000 98060809600 122576012000 153220015000 188578480000 245152024000 306440030000 490304048000 612880060000 1225760120000 2451520240000