Search a number
-
+
42172480328700 = 22352312943449203
BaseRepresentation
bin10011001011011000010111…
…01101011001001111111100
312112022122112122221101201210
421211230023231121033330
521011423214431004300
6225405434153204420
711611601243126001
oct1145541355311774
9175278478841653
1042172480328700
111248a280790757
124891386400710
131a6bb038b8717
14a5b2321b18a8
154d200a187050
hex265b0bb593fc

42172480328700 has 72 divisors (see below), whose sum is σ = 122019704627968. Its totient is φ = 11245933782720.

The previous prime is 42172480328687. The next prime is 42172480328707. The reversal of 42172480328700 is 782308427124.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42172480328700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42172480328707) 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, 93658299 + ... + 94107501.

Almost surely, 242172480328700 is an apocalyptic number.

It is an amenable number.

42172480328700 is an abundant number, since it is smaller than the sum of its proper divisors (79847224299268).

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

42172480328700 is a wasteful number, since it uses less digits than its factorization.

42172480328700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762163 (or 762156 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 42172480328700 in words is "forty-two trillion, one hundred seventy-two billion, four hundred eighty million, three hundred twenty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 312943 449203 625886 898406 938829 1251772 1347609 1564715 1796812 1877658 2246015 2695218 3129430 3755316 4492030 4694145 5390436 6258860 6738045 7823575 8984060 9388290 11230075 13476090 15647150 18776580 22460150 23470725 26952180 31294300 33690225 44920300 46941450 67380450 93882900 134760900 140574934429 281149868858 421724803287 562299737716 702874672145 843449606574 1405749344290 1686899213148 2108624016435 2811498688580 3514373360725 4217248032870 7028746721450 8434496065740 10543120082175 14057493442900 21086240164350 42172480328700