Search a number
-
+
2334202154040 = 2335671272286013
BaseRepresentation
bin100001111101111001010…
…010100100110000111000
322021010222120011022202010
4201331321102210300320
5301220421222412130
64544152341005520
7330432463641261
oct41757122446070
98233876138663
102334202154040
1181aa25299699
123184736b38a0
1313c164209343
1480d94173968
1540ab816d0b0
hex21f794a4c38

2334202154040 has 128 divisors (see below), whose sum is σ = 7163087708160. Its totient is φ = 608335225344.

The previous prime is 2334202154033. The next prime is 2334202154041. The reversal of 2334202154040 is 404512024332.

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

It is a junction number, because it is equal to n+sod(n) for n = 2334202153989 and 2334202154007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334202154041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121927 + ... + 2164086.

It is an arithmetic number, because the mean of its divisors is an integer number (55961622720).

Almost surely, 22334202154040 is an apocalyptic number.

2334202154040 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 2334202154040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581543854080).

2334202154040 is an abundant number, since it is smaller than the sum of its proper divisors (4828885554120).

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

2334202154040 is a wasteful number, since it uses less digits than its factorization.

2334202154040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286221 (or 2286217 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 2334202154040 its reverse (404512024332), we get a palindrome (2738714178372).

The spelling of 2334202154040 in words is "two trillion, three hundred thirty-four billion, two hundred two million, one hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 127 134 201 254 268 335 381 402 508 536 635 670 762 804 1005 1016 1270 1340 1524 1608 1905 2010 2540 2680 3048 3810 4020 5080 7620 8040 8509 15240 17018 25527 34036 42545 51054 68072 85090 102108 127635 170180 204216 255270 340360 510540 1021080 2286013 4572026 6858039 9144052 11430065 13716078 18288104 22860130 27432156 34290195 45720260 54864312 68580390 91440520 137160780 153162871 274321560 290323651 306325742 459488613 580647302 612651484 765814355 870970953 918977226 1161294604 1225302968 1451618255 1531628710 1741941906 1837954452 2297443065 2322589208 2903236510 3063257420 3483883812 3675908904 4354854765 4594886130 5806473020 6126514840 6967767624 8709709530 9189772260 11612946040 17419419060 18379544520 19451684617 34838838120 38903369234 58355053851 77806738468 97258423085 116710107702 155613476936 194516846170 233420215404 291775269255 389033692340 466840430808 583550538510 778067384680 1167101077020 2334202154040