Search a number
-
+
41322172080 = 2435724596531
BaseRepresentation
bin100110011110111111…
…100100111010110000
310221122210221211121210
4212132333210322300
51134111434001310
630552205320120
72662000444620
oct463677447260
9127583854553
1041322172080
111658531a542
128012866040
133b86c814c7
142000020880
15111cb06820
hex99efe4eb0

41322172080 has 80 divisors (see below), whose sum is σ = 146398558464. Its totient is φ = 9445067520.

The previous prime is 41322172061. The next prime is 41322172081. The reversal of 41322172080 is 8027122314.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (41322172081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12296586 + ... + 12299945.

Almost surely, 241322172080 is an apocalyptic number.

41322172080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41322172080 is an abundant number, since it is smaller than the sum of its proper divisors (105076386384).

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

41322172080 is a wasteful number, since it uses less digits than its factorization.

41322172080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24596554 (or 24596548 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

Adding to 41322172080 its reverse (8027122314), we get a palindrome (49349294394).

The spelling of 41322172080 in words is "forty-one billion, three hundred twenty-two million, one hundred seventy-two thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 24596531 49193062 73789593 98386124 122982655 147579186 172175717 196772248 245965310 295158372 344351434 368947965 393544496 491930620 516527151 590316744 688702868 737895930 860878585 983861240 1033054302 1180633488 1377405736 1475791860 1721757170 1967722480 2066108604 2582635755 2754811472 2951583720 3443514340 4132217208 5165271510 5903167440 6887028680 8264434416 10330543020 13774057360 20661086040 41322172080