Search a number
-
+
41554120432 = 24113748713103
BaseRepresentation
bin100110101100110100…
…011000111011110000
310222020222102000221111
4212230310120323300
51140100323323212
631031213003104
73000515124106
oct465464307360
9128228360844
1041554120432
11166942437a0
128078483494
133bc3043556
142022b5bc76
151133171ea7
hex9acd18ef0

41554120432 has 80 divisors (see below), whose sum is σ = 90396214272. Its totient is φ = 18338607360.

The previous prime is 41554120423. The next prime is 41554120441. The reversal of 41554120432 is 23402145514.

41554120432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41554120423) and next prime (41554120441).

It is a junction number, because it is equal to n+sod(n) for n = 41554120394 and 41554120403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3164793 + ... + 3177895.

Almost surely, 241554120432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41554120432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45198107136).

41554120432 is an abundant number, since it is smaller than the sum of its proper divisors (48842093840).

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

41554120432 is a wasteful number, since it uses less digits than its factorization.

41554120432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13646 (or 13640 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 41554120432 its reverse (23402145514), we get a palindrome (64956265946).

The spelling of 41554120432 in words is "forty-one billion, five hundred fifty-four million, one hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 487 592 814 974 1628 1948 3256 3896 5357 6512 7792 10714 13103 18019 21428 26206 36038 42856 52412 72076 85712 104824 144133 144152 198209 209648 288266 288304 396418 484811 576532 792836 969622 1153064 1585672 1939244 2306128 3171344 3878488 5332921 6381161 7756976 10665842 12762322 21331684 25524644 42663368 51049288 70192771 85326736 102098576 140385542 236102957 280771084 472205914 561542168 944411828 1123084336 1888823656 2597132527 3777647312 5194265054 10388530108 20777060216 41554120432