Search a number
-
+
42415373180 = 225235313192
BaseRepresentation
bin100111100000001001…
…110011101101111100
311001111000000012121102
4213200021303231330
51143331313420210
631252500352232
73031043503055
oct474011635574
9131430005542
1042415373180
1116a96410724
1282789a5678
133ccc5c166b
1420a52ad72c
151183a97ea5
hex9e0273b7c

42415373180 has 72 divisors (see below), whose sum is σ = 94770520992. Its totient is φ = 15910221184.

The previous prime is 42415373179. The next prime is 42415373251. The reversal of 42415373180 is 8137351424.

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 23 ways as a sum of consecutive naturals, for example, 32156561 + ... + 32157879.

It is an arithmetic number, because the mean of its divisors is an integer number (1316257236).

Almost surely, 242415373180 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 42415373180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47385260496).

42415373180 is an abundant number, since it is smaller than the sum of its proper divisors (52355147812).

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

42415373180 is a wasteful number, since it uses less digits than its factorization.

42415373180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 42415373180 in words is "forty-two billion, four hundred fifteen million, three hundred seventy-three thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 53 92 106 115 212 230 265 460 530 1060 1219 1319 2438 2638 4876 5276 6095 6595 12190 13190 24380 26380 30337 60674 69907 121348 139814 151685 279628 303370 349535 606740 699070 1398140 1607861 1739761 3215722 3479522 6431444 6959044 8039305 8698805 16078610 17397610 32157220 34795220 40014503 80029006 92207333 160058012 184414666 200072515 368829332 400145030 461036665 800290060 922073330 1844146660 2120768659 4241537318 8483074636 10603843295 21207686590 42415373180