Search a number
-
+
1460312120550 = 235237475598283
BaseRepresentation
bin10101010000000001011…
…000101001110011100110
312011121022122212222010110
4111100001120221303212
5142411204400324200
63034505204433450
7210334616135133
oct25200130516346
95147278788113
101460312120550
11513351138118
121b70276a8886
13a7925c1697a
145097270958a
1527ebceb7b50
hex15401629ce6

1460312120550 has 96 divisors (see below), whose sum is σ = 3798592445952. Its totient is φ = 370830199680.

The previous prime is 1460312120537. The next prime is 1460312120551. The reversal of 1460312120550 is 550212130641.

It is a super-2 number, since 2×14603121205502 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1460312120551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2538292 + ... + 3059991.

It is an arithmetic number, because the mean of its divisors is an integer number (39568671312).

Almost surely, 21460312120550 is an apocalyptic number.

1460312120550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1460312120550 is an abundant number, since it is smaller than the sum of its proper divisors (2338280325402).

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

1460312120550 is a wasteful number, since it uses less digits than its factorization.

1460312120550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598382 (or 5598377 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 1460312120550 in words is "one trillion, four hundred sixty billion, three hundred twelve million, one hundred twenty thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 47 50 74 75 94 111 141 150 185 222 235 282 370 470 555 705 925 1110 1175 1410 1739 1850 2350 2775 3478 3525 5217 5550 7050 8695 10434 17390 26085 43475 52170 86950 130425 260850 5598283 11196566 16794849 27991415 33589698 55982830 83974245 139957075 167948490 207136471 263119301 279914150 414272942 419871225 526238602 621409413 789357903 839742450 1035682355 1242818826 1315596505 1578715806 2071364710 2631193010 3107047065 3946789515 5178411775 6214094130 6577982525 7893579030 9735414137 10356823550 13155965050 15535235325 19470828274 19733947575 29206242411 31070470650 39467895150 48677070685 58412484822 97354141370 146031212055 243385353425 292062424110 486770706850 730156060275 1460312120550