Search a number
-
+
2434255303000 = 23538398873271
BaseRepresentation
bin100011011011000100111…
…011000011000101011000
322121201020102210220122211
4203123010323003011120
5304340323324144000
65102140443124504
7340604054451103
oct43330473030530
98551212726584
102434255303000
118593a8726354
12333937213734
1314871aa37571
1485b662ab73a
15434c1da57ba
hex236c4ec3158

2434255303000 has 128 divisors (see below), whose sum is σ = 5711121561600. Its totient is φ = 971148144000.

The previous prime is 2434255302991. The next prime is 2434255303013. The reversal of 2434255303000 is 3035524342.

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 31 ways as a sum of consecutive naturals, for example, 744191365 + ... + 744194635.

It is an arithmetic number, because the mean of its divisors is an integer number (44618137200).

Almost surely, 22434255303000 is an apocalyptic number.

2434255303000 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 2434255303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855560780800).

2434255303000 is an abundant number, since it is smaller than the sum of its proper divisors (3276866258600).

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

2434255303000 is a wasteful number, since it uses less digits than its factorization.

2434255303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 31.

The spelling of 2434255303000 in words is "two trillion, four hundred thirty-four billion, two hundred fifty-five million, three hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 839 887 1000 1678 1774 3271 3356 3548 4195 4435 6542 6712 7096 8390 8870 13084 16355 16780 17740 20975 22175 26168 32710 33560 35480 41950 44350 65420 81775 83900 88700 104875 110875 130840 163550 167800 177400 209750 221750 327100 408875 419500 443500 654200 744193 817750 839000 887000 1488386 1635500 2744369 2901377 2976772 3271000 3720965 5488738 5802754 5953544 7441930 10977476 11605508 13721845 14506885 14883860 18604825 21954952 23211016 27443690 29013770 29767720 37209650 54887380 58027540 68609225 72534425 74419300 93024125 109774760 116055080 137218450 145068850 148838600 186048250 274436900 290137700 343046125 362672125 372096500 548873800 580275400 686092250 725344250 744193000 1372184500 1450688500 2434255303 2744369000 2901377000 4868510606 9737021212 12171276515 19474042424 24342553030 48685106060 60856382575 97370212120 121712765150 243425530300 304281912875 486851060600 608563825750 1217127651500 2434255303000