Search a number
-
+
147406754220 = 223511972302511
BaseRepresentation
bin1000100101001000100…
…0001001000110101100
3112002111000210222102120
42021102020021012230
54403342112113340
6151415010152540
713435606510635
oct2112210110654
9462430728376
10147406754220
11575732a7220
122469a282750
1310b922328bb
1471c51ca88c
153c7b0d54d0
hex22522091ac

147406754220 has 96 divisors (see below), whose sum is σ = 454902690816. Its totient is φ = 35366553600.

The previous prime is 147406754191. The next prime is 147406754227. The reversal of 147406754220 is 22457604741.

147406754220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (147406754227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1087236 + ... + 1215275.

It is an arithmetic number, because the mean of its divisors is an integer number (4738569696).

Almost surely, 2147406754220 is an apocalyptic number.

147406754220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

147406754220 is an abundant number, since it is smaller than the sum of its proper divisors (307495936596).

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

147406754220 is a wasteful number, since it uses less digits than its factorization.

147406754220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302631 (or 2302629 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 147406754220 in words is "one hundred forty-seven billion, four hundred six million, seven hundred fifty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 97 110 132 165 194 220 291 330 388 485 582 660 970 1067 1164 1455 1940 2134 2910 3201 4268 5335 5820 6402 10670 12804 16005 21340 32010 64020 2302511 4605022 6907533 9210044 11512555 13815066 23025110 25327621 27630132 34537665 46050220 50655242 69075330 75982863 101310484 126638105 138150660 151965726 223343567 253276210 303931452 379914315 446687134 506552420 670030701 759828630 893374268 1116717835 1340061402 1519657260 2233435670 2456779237 2680122804 3350153505 4466871340 4913558474 6700307010 7370337711 9827116948 12283896185 13400614020 14740675422 24567792370 29481350844 36851688555 49135584740 73703377110 147406754220