Search a number
-
+
2342352532432 = 2411210168317539
BaseRepresentation
bin100010000101011111000…
…101110011001111010000
322021221000120112110000111
4202011133011303033100
5301334114222014212
64552021211531104
7331141452005353
oct42053705631720
98257016473014
102342352532432
11823427a37600
12319b69159a94
1313cb62951653
14815287c429a
1540de396eea7
hex2215f1733d0

2342352532432 has 120 divisors (see below), whose sum is σ = 5045441758560. Its totient is φ = 1052560608000.

The previous prime is 2342352532397. The next prime is 2342352532439.

2342352532432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×23423525324322 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342352532439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133542319 + ... + 133559857.

It is an arithmetic number, because the mean of its divisors is an integer number (42045347988).

Almost surely, 22342352532432 is an apocalyptic number.

2342352532432 is a gapful number since it is divisible by the number (22) 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 2342352532432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522720879280).

2342352532432 is an abundant number, since it is smaller than the sum of its proper divisors (2703089226128).

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

2342352532432 is a wasteful number, since it uses less digits than its factorization.

2342352532432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18353 (or 18336 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 40.

The spelling of 2342352532432 in words is "two trillion, three hundred forty-two billion, three hundred fifty-two million, five hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 101 121 176 202 242 404 484 683 808 968 1111 1366 1616 1936 2222 2732 4444 5464 7513 8888 10928 12221 15026 17539 17776 24442 30052 35078 48884 60104 68983 70156 82643 97768 120208 137966 140312 165286 192929 195536 275932 280624 330572 385858 551864 661144 758813 771716 1103728 1322288 1517626 1543432 1771439 2122219 3035252 3086864 3542878 4244438 6070504 7085756 8346943 8488876 11979137 12141008 14171512 16693886 16977752 19485829 23958274 28343024 33387772 33955504 38971658 47916548 66775544 77943316 95833096 131770507 133551088 155886632 191666192 214344119 263541014 311773264 428688238 527082028 857376476 1054164056 1209892837 1449475577 1714752952 2108328112 2419785674 2898951154 3429505904 4839571348 5797902308 9679142696 11595804616 13308821207 19358285392 23191609232 26617642414 53235284828 106470569656 146397033277 212941139312 292794066554 585588133108 1171176266216 2342352532432