Search a number
-
+
114510350000000 = 27582290207
BaseRepresentation
bin11010000010010110000100…
…101111000001111110000000
3120000110002020011210200011002
4122002112010233001332000
5110002114144100000000
61043313154545311132
733056046136121423
oct3202260457017600
9500402204720132
10114510350000000
1133539626329469
1210a14a586354a8
134bb838358b2c6
14203c48acd39ba
15d38a24c978d5
hex682584bc1f80

114510350000000 has 144 divisors (see below), whose sum is σ = 285157588374240. Its totient is φ = 45804120000000.

The previous prime is 114510349999987. The next prime is 114510350000089. The reversal of 114510350000000 is 53015411.

It is a super-2 number, since 2×1145103500000002 (a number of 29 digits) contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 48854897 + ... + 51145103.

Almost surely, 2114510350000000 is an apocalyptic number.

114510350000000 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 114510350000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142578794187120).

114510350000000 is an abundant number, since it is smaller than the sum of its proper divisors (170647238374240).

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

114510350000000 is an frugal number, since it uses more digits than its factorization.

114510350000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290261 (or 2290214 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 114510350000000 in words is "one hundred fourteen trillion, five hundred ten billion, three hundred fifty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 78125 80000 100000 125000 156250 200000 250000 312500 390625 400000 500000 625000 781250 1000000 1250000 1562500 2000000 2290207 2500000 3125000 4580414 5000000 6250000 9160828 10000000 11451035 12500000 18321656 22902070 25000000 36643312 45804140 50000000 57255175 73286624 91608280 114510350 146573248 183216560 229020700 286275875 293146496 366433120 458041400 572551750 732866240 916082800 1145103500 1431379375 1465732480 1832165600 2290207000 2862758750 3664331200 4580414000 5725517500 7156896875 7328662400 9160828000 11451035000 14313793750 18321656000 22902070000 28627587500 35784484375 36643312000 45804140000 57255175000 71568968750 91608280000 114510350000 143137937500 178922421875 183216560000 229020700000 286275875000 357844843750 458041400000 572551750000 715689687500 894612109375 916082800000 1145103500000 1431379375000 1789224218750 2290207000000 2862758750000 3578448437500 4580414000000 5725517500000 7156896875000 11451035000000 14313793750000 22902070000000 28627587500000 57255175000000 114510350000000