Search a number
-
+
42404514100 = 22521349436599
BaseRepresentation
bin100111011111100000…
…011000100100110100
311001110020120111202021
4213133200120210310
51143321023422400
631251431522524
73030552264664
oct473740304464
9131406514667
1042404514100
1116a90274083
128275229444
133cca28ba80
1420a3a841a4
151182b5071a
hex9df818934

42404514100 has 72 divisors (see below), whose sum is σ = 99131155200. Its totient is φ = 15651511680.

The previous prime is 42404514091. The next prime is 42404514107. The reversal of 42404514100 is 141540424.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42404514107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6422601 + ... + 6429199.

It is an arithmetic number, because the mean of its divisors is an integer number (1376821600).

Almost surely, 242404514100 is an apocalyptic number.

It is an amenable number.

42404514100 is an abundant number, since it is smaller than the sum of its proper divisors (56726641100).

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

42404514100 is a wasteful number, since it uses less digits than its factorization.

42404514100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11569 (or 11562 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The spelling of 42404514100 in words is "forty-two billion, four hundred four million, five hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 4943 6599 9886 13198 19772 24715 26396 32995 49430 64259 65990 85787 98860 123575 128518 131980 164975 171574 247150 257036 321295 329950 343148 428935 494300 642590 659900 857870 1285180 1606475 1715740 2144675 3212950 4289350 6425900 8578700 32618857 65237714 130475428 163094285 326188570 424045141 652377140 815471425 848090282 1630942850 1696180564 2120225705 3261885700 4240451410 8480902820 10601128525 21202257050 42404514100