Search a number
-
+
146487024408 = 233149334712239
BaseRepresentation
bin1000100001101101001…
…1101001101100011000
3112000002221011212022110
42020123103221230120
54400001134240113
6151143433152320
713404041106624
oct2103323515430
9460087155273
10146487024408
115714111963a
122448225b6a0
1310a7681ba8a
147138db6184
153c254acbc3
hex221b4e9b18

146487024408 has 64 divisors (see below), whose sum is σ = 368815680000. Its totient is φ = 48482844032.

The previous prime is 146487024407. The next prime is 146487024419. The reversal of 146487024408 is 804420784641.

146487024408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146487024407) 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 15 ways as a sum of consecutive naturals, for example, 11962753 + ... + 11974991.

It is an arithmetic number, because the mean of its divisors is an integer number (5762745000).

Almost surely, 2146487024408 is an apocalyptic number.

It is an amenable number.

146487024408 is an abundant number, since it is smaller than the sum of its proper divisors (222328655592).

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

146487024408 is a wasteful number, since it uses less digits than its factorization.

146487024408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15744 (or 15740 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 146487024408 in words is "one hundred forty-six billion, four hundred eighty-seven million, twenty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 24 149 298 447 596 894 1192 1788 3347 3576 6694 10041 12239 13388 20082 24478 26776 36717 40164 48956 73434 80328 97912 146868 293736 498703 997406 1496109 1823611 1994812 2992218 3647222 3989624 5470833 5984436 7294444 10941666 11968872 14588888 21883332 40963933 43766664 81927866 122891799 163855732 245783598 327711464 491567196 983134392 6103626017 12207252034 18310878051 24414504068 36621756102 48829008136 73243512204 146487024408