Search a number
-
+
146934953319 = 37111793553531
BaseRepresentation
bin1000100011011000000…
…0010111010101100111
3112001021011001000021010
42020312000113111213
54401410322001234
6151300113553303
713421120332050
oct2106600272547
9461234030233
10146934953319
1157350a50220
1224588275833
1310b18571b7b
14717c695727
153c4e98c6e9
hex2236017567

146934953319 has 32 divisors (see below), whose sum is σ = 245620131840. Its totient is φ = 75903400800.

The previous prime is 146934953317. The next prime is 146934953339. The reversal of 146934953319 is 913359439641.

It is a happy number.

It is not a de Polignac number, because 146934953319 - 21 = 146934953317 is a prime.

It is a super-3 number, since 3×1469349533193 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146934953317) 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 31 ways as a sum of consecutive naturals, for example, 1735417 + ... + 1818114.

It is an arithmetic number, because the mean of its divisors is an integer number (7675629120).

Almost surely, 2146934953319 is an apocalyptic number.

146934953319 is a deficient number, since it is larger than the sum of its proper divisors (98685178521).

146934953319 is a wasteful number, since it uses less digits than its factorization.

146934953319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553731.

The product of its digits is 9447840, while the sum is 57.

The spelling of 146934953319 in words is "one hundred forty-six billion, nine hundred thirty-four million, nine hundred fifty-three thousand, three hundred nineteen".

Divisors: 1 3 7 11 21 33 77 179 231 537 1253 1969 3759 5907 13783 41349 3553531 10660593 24874717 39088841 74624151 117266523 273621887 636082049 820865661 1908246147 4452574343 6996902539 13357723029 20990707617 48978317773 146934953319