Search a number
-
+
272211742000 = 24531112373261
BaseRepresentation
bin1111110110000100010…
…1011000110100110000
3222000121220102021000101
43331201011120310300
513424442201221000
6325015150202144
725444442426032
oct3754105306460
9860556367011
10272211742000
11a5498482820
124490b1b3354
131c891a498b3
14d26474dc52
157132d20e6a
hex3f61158d30

272211742000 has 80 divisors (see below), whose sum is σ = 718045140384. Its totient is φ = 98986080000.

The previous prime is 272211741973. The next prime is 272211742009. The reversal of 272211742000 is 247112272.

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

It is a self number, because there is not a number n which added to its sum of digits gives 272211742000.

It is not an unprimeable number, because it can be changed into a prime (272211742009) 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, 6164631 + ... + 6208630.

Almost surely, 2272211742000 is an apocalyptic number.

272211742000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272211742000 is an abundant number, since it is smaller than the sum of its proper divisors (445833398384).

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

272211742000 is a wasteful number, since it uses less digits than its factorization.

272211742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12373295 (or 12373279 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

Adding to 272211742000 its reverse (247112272), we get a palindrome (272458854272).

The spelling of 272211742000 in words is "two hundred seventy-two billion, two hundred eleven million, seven hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 12373261 24746522 49493044 61866305 98986088 123732610 136105871 197972176 247465220 272211742 309331525 494930440 544423484 618663050 680529355 989860880 1088846968 1237326100 1361058710 1546657625 2177693936 2474652200 2722117420 3093315250 3402646775 4949304400 5444234840 6186630500 6805293550 10888469680 12373261000 13610587100 17013233875 24746522000 27221174200 34026467750 54442348400 68052935500 136105871000 272211742000