Search a number
-
+
541141103250 = 232531121864287
BaseRepresentation
bin1111101111111101000…
…01011111001010010010
31220201210001110022010100
413313332201133022102
532331224110301000
61052332523513230
754044660324646
oct7677641371222
91821701408110
10541141103250
11199551055280
1288a63088816
133c04c742a57
141c29718cc26
15e1228bea00
hex7dfe85f292

541141103250 has 96 divisors (see below), whose sum is σ = 1596267938304. Its totient is φ = 131185716000.

The previous prime is 541141103233. The next prime is 541141103287. The reversal of 541141103250 is 52301141145.

541141103250 is a `hidden beast` number, since 541 + 1 + 4 + 110 + 3 + 2 + 5 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10907394 + ... + 10956893.

It is an arithmetic number, because the mean of its divisors is an integer number (16627791024).

Almost surely, 2541141103250 is an apocalyptic number.

541141103250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

541141103250 is an abundant number, since it is smaller than the sum of its proper divisors (1055126835054).

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

541141103250 is a wasteful number, since it uses less digits than its factorization.

541141103250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21864321 (or 21864308 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 541141103250 its reverse (52301141145), we get a palindrome (593442244395).

The spelling of 541141103250 in words is "five hundred forty-one billion, one hundred forty-one million, one hundred three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 125 150 165 198 225 250 275 330 375 450 495 550 750 825 990 1125 1375 1650 2250 2475 2750 4125 4950 8250 12375 24750 21864287 43728574 65592861 109321435 131185722 196778583 218642870 240507157 327964305 393557166 481014314 546607175 655928610 721521471 983892915 1093214350 1202535785 1443042942 1639821525 1967785830 2164564413 2405071570 2733035875 3279643050 3607607355 4329128826 4919464575 5466071750 6012678925 7215214710 8199107625 9838929150 10822822065 12025357850 16398215250 18038036775 21645644130 24597322875 30063394625 36076073550 49194645750 54114110325 60126789250 90190183875 108228220650 180380367750 270570551625 541141103250